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Simplifying 5(x + 3) + -5x(x + 3) = 0 Reorder the terms: 5(3 + x) + -5x(x + 3) = 0 (3 * 5 + x * 5) + -5x(x + 3) = 0 (15 + 5x) + -5x(x + 3) = 0 Reorder the terms: 15 + 5x + -5x(3 + x) = 0 15 + 5x + (3 * -5x + x * -5x) = 0 15 + 5x + (-15x + -5x2) = 0 Combine like terms: 5x + -15x = -10x 15 + -10x + -5x2 = 0 Solving 15 + -10x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(3 + -2x + -1x2) = 0 Factor a trinomial. 5((1 + -1x)(3 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1, -3}
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