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Simplifying 2x(x + 36) + -1x(x + 47) = 0 Reorder the terms: 2x(36 + x) + -1x(x + 47) = 0 (36 * 2x + x * 2x) + -1x(x + 47) = 0 (72x + 2x2) + -1x(x + 47) = 0 Reorder the terms: 72x + 2x2 + -1x(47 + x) = 0 72x + 2x2 + (47 * -1x + x * -1x) = 0 72x + 2x2 + (-47x + -1x2) = 0 Reorder the terms: 72x + -47x + 2x2 + -1x2 = 0 Combine like terms: 72x + -47x = 25x 25x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 25x + 1x2 = 0 Solving 25x + 1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(25 + 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 '(25 + x)' equal to zero and attempt to solve: Simplifying 25 + x = 0 Solving 25 + x = 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 + x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + x = 0 + -25 x = 0 + -25 Combine like terms: 0 + -25 = -25 x = -25 Simplifying x = -25Solution
x = {0, -25}
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