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Simplifying x(x + -3) + x(x + -5) = 0 Reorder the terms: x(-3 + x) + x(x + -5) = 0 (-3 * x + x * x) + x(x + -5) = 0 (-3x + x2) + x(x + -5) = 0 Reorder the terms: -3x + x2 + x(-5 + x) = 0 -3x + x2 + (-5 * x + x * x) = 0 -3x + x2 + (-5x + x2) = 0 Reorder the terms: -3x + -5x + x2 + x2 = 0 Combine like terms: -3x + -5x = -8x -8x + x2 + x2 = 0 Combine like terms: x2 + x2 = 2x2 -8x + 2x2 = 0 Solving -8x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-4 + x) = 0 Ignore the factor 2.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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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