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Simplifying 2X(5X) = 5(X2 + -5X) Remove parenthesis around (5X) 2X * 5X = 5(X2 + -5X) Reorder the terms for easier multiplication: 2 * 5X * X = 5(X2 + -5X) Multiply 2 * 5 10X * X = 5(X2 + -5X) Multiply X * X 10X2 = 5(X2 + -5X) Reorder the terms: 10X2 = 5(-5X + X2) 10X2 = (-5X * 5 + X2 * 5) 10X2 = (-25X + 5X2) Solving 10X2 = -25X + 5X2 Solving for variable 'X'. Reorder the terms: 25X + 10X2 + -5X2 = -25X + 5X2 + 25X + -5X2 Combine like terms: 10X2 + -5X2 = 5X2 25X + 5X2 = -25X + 5X2 + 25X + -5X2 Reorder the terms: 25X + 5X2 = -25X + 25X + 5X2 + -5X2 Combine like terms: -25X + 25X = 0 25X + 5X2 = 0 + 5X2 + -5X2 25X + 5X2 = 5X2 + -5X2 Combine like terms: 5X2 + -5X2 = 0 25X + 5X2 = 0 Factor out the Greatest Common Factor (GCF), '5X'. 5X(5 + X) = 0 Ignore the factor 5.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 = 0Subproblem 2
Set the factor '(5 + X)' equal to zero and attempt to solve: Simplifying 5 + X = 0 Solving 5 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X = 0 + -5 X = 0 + -5 Combine like terms: 0 + -5 = -5 X = -5 Simplifying X = -5Solution
X = {0, -5}
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