B 2 2 Calculator 0 4x 2-48x-288

This B 2 2 calculator helps solve linear equations of the form 0.4x + 2 - 48x - 288. It simplifies the equation and finds the value of x that satisfies the equation. The calculator provides step-by-step results and explains the underlying formula.

How to Use This Calculator

The calculator solves the equation 0.4x + 2 - 48x - 288. To use it:

Enter the value of x in the input field.
Click "Calculate" to see the result.
Review the simplified equation and the solution.

The calculator will show you the simplified form of the equation and the value of x that satisfies it.

Formula Explained

The equation being solved is:

0.4x + 2 - 48x - 288 = 0

To solve for x:

Combine like terms: (0.4x - 48x) + (2 - 288) = 0
Simplify: -47.6x - 286 = 0
Isolate x: -47.6x = 286
Divide both sides by -47.6: x = 286 / -47.6
Calculate: x ≈ -6.008

The solution to the equation is x ≈ -6.008.

Worked Example

Let's solve the equation step by step:

0.4x + 2 - 48x - 288 = 0

Combine like terms: (0.4x - 48x) + (2 - 288) = 0 → -47.6x - 286 = 0
Move constants to the other side: -47.6x = 286
Divide both sides by -47.6: x = 286 / -47.6 ≈ -6.008

The value of x that satisfies the equation is approximately -6.008.

Frequently Asked Questions

What is the solution to 0.4x + 2 - 48x - 288 = 0?: The solution is x ≈ -6.008.
How do I solve linear equations?: Combine like terms, isolate the variable, and solve for the unknown.
Can this calculator handle different equations?: This calculator is specifically designed for the equation 0.4x + 2 - 48x - 288.
What if the equation has no solution?: If the equation simplifies to a false statement (e.g., 0 = 5), there is no solution.
How accurate are the results?: The calculator provides precise results based on the given equation.