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Simplifying -5x(x + 3) = 45x + 5x Reorder the terms: -5x(3 + x) = 45x + 5x (3 * -5x + x * -5x) = 45x + 5x (-15x + -5x2) = 45x + 5x Combine like terms: 45x + 5x = 50x -15x + -5x2 = 50x Solving -15x + -5x2 = 50x Solving for variable 'x'. Reorder the terms: -15x + -50x + -5x2 = 50x + -50x Combine like terms: -15x + -50x = -65x -65x + -5x2 = 50x + -50x Combine like terms: 50x + -50x = 0 -65x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(13 + 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 '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Solution
x = {0, -13}
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