(-5x)(-5x)=6x

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Solution for (-5x)(-5x)=6x equation:


Simplifying
(-5x)(-5x) = 6x

Remove parenthesis around (-5x)
-5x(-5x) = 6x

Remove parenthesis around (-5x)
-5x * -5x = 6x

Reorder the terms for easier multiplication:
-5 * -5x * x = 6x

Multiply -5 * -5
25x * x = 6x

Multiply x * x
25x2 = 6x

Solving
25x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-6x + 25x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-6x + 25x2 = 0

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

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 '(-6 + 25x)' equal to zero and attempt to solve: Simplifying -6 + 25x = 0 Solving -6 + 25x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 25x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 25x = 0 + 6 25x = 0 + 6 Combine like terms: 0 + 6 = 6 25x = 6 Divide each side by '25'. x = 0.24 Simplifying x = 0.24

Solution

x = {0, 0.24}

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