Algebra Calculator Solve The Equation 9x X-4 0
This algebra calculator helps you solve the equation 9x - x - 4 = 0. Learn how to simplify and find the solution step by step.
How to Solve the Equation 9x - x - 4 = 0
Solving the equation 9x - x - 4 = 0 involves combining like terms and isolating the variable. Here's a quick guide to solving it:
- Combine the like terms (9x and -x) to simplify the equation.
- Move the constant term (-4) to the other side of the equation.
- Solve for x by dividing both sides by the coefficient of x.
Formula: 9x - x - 4 = 0
Simplified: (9x - x) - 4 = 0 → 8x - 4 = 0
Solution: x = 4/8 → x = 0.5
The solution to the equation is x = 0.5. Use our calculator to verify this or try similar equations.
Step-by-Step Solution
Let's break down the solution process for the equation 9x - x - 4 = 0:
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Combine Like Terms
First, combine the terms with x:
9x - x = 8x
Now the equation becomes: 8x - 4 = 0
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Isolate the Variable Term
Move the constant term (-4) to the other side of the equation:
8x - 4 + 4 = 0 + 4
This simplifies to: 8x = 4
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Solve for x
Divide both sides by 8 to solve for x:
x = 4 / 8
x = 0.5
Note: Always double-check your calculations to ensure accuracy.
Worked Example
Let's solve a similar equation to reinforce your understanding:
Solve 7x - 2x - 3 = 0
- Combine like terms: 7x - 2x = 5x → 5x - 3 = 0
- Move the constant: 5x = 3
- Solve for x: x = 3/5 → x = 0.6
The solution is x = 0.6. Practice with different equations to build your algebra skills.
Frequently Asked Questions
What is the solution to 9x - x - 4 = 0?
The solution is x = 0.5. This is found by combining like terms and isolating the variable.
How do I solve linear equations with one variable?
Follow these steps: combine like terms, move constants to one side, and isolate the variable by dividing.
Can I use this calculator for other similar equations?
Yes, our algebra calculator can solve equations of the form ax - b = 0. Just enter your coefficients.
What if the equation has no solution?
An equation like 0x = 5 has no solution because it's impossible to satisfy.