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Simplifying 3x(2 + 2x) = x(5x + -5) (2 * 3x + 2x * 3x) = x(5x + -5) (6x + 6x2) = x(5x + -5) Reorder the terms: 6x + 6x2 = x(-5 + 5x) 6x + 6x2 = (-5 * x + 5x * x) 6x + 6x2 = (-5x + 5x2) Solving 6x + 6x2 = -5x + 5x2 Solving for variable 'x'. Reorder the terms: 6x + 5x + 6x2 + -5x2 = -5x + 5x2 + 5x + -5x2 Combine like terms: 6x + 5x = 11x 11x + 6x2 + -5x2 = -5x + 5x2 + 5x + -5x2 Combine like terms: 6x2 + -5x2 = 1x2 11x + 1x2 = -5x + 5x2 + 5x + -5x2 Reorder the terms: 11x + 1x2 = -5x + 5x + 5x2 + -5x2 Combine like terms: -5x + 5x = 0 11x + 1x2 = 0 + 5x2 + -5x2 11x + 1x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 11x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + x) = 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {0, -11}
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