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Simplifying x(x + -3) + -2(x + -3) = 6 Reorder the terms: x(-3 + x) + -2(x + -3) = 6 (-3 * x + x * x) + -2(x + -3) = 6 (-3x + x2) + -2(x + -3) = 6 Reorder the terms: -3x + x2 + -2(-3 + x) = 6 -3x + x2 + (-3 * -2 + x * -2) = 6 -3x + x2 + (6 + -2x) = 6 Reorder the terms: 6 + -3x + -2x + x2 = 6 Combine like terms: -3x + -2x = -5x 6 + -5x + x2 = 6 Add '-6' to each side of the equation. 6 + -5x + -6 + x2 = 6 + -6 Reorder the terms: 6 + -6 + -5x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -5x + x2 = 6 + -6 -5x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -5x + x2 = 0 Solving -5x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-5 + 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 '(-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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