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