24x^2+100x=0

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Solution for 24x^2+100x=0 equation:


Simplifying
24x2 + 100x = 0

Reorder the terms:
100x + 24x2 = 0

Solving
100x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(25 + 6x) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(25 + 6x)' equal to zero and attempt to solve: Simplifying 25 + 6x = 0 Solving 25 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6x = 0 + -25 6x = 0 + -25 Combine like terms: 0 + -25 = -25 6x = -25 Divide each side by '6'. x = -4.166666667 Simplifying x = -4.166666667

Solution

x = {0, -4.166666667}

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