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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) = 0Subproblem 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 = 0Subproblem 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 = 0.24Solution
x = {0, 0.24}
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