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Simplifying (x + -2) * x + (2 + -3) * 3x = 0 Reorder the terms: (-2 + x) * x + (2 + -3) * 3x = 0 Reorder the terms for easier multiplication: x(-2 + x) + (2 + -3) * 3x = 0 (-2 * x + x * x) + (2 + -3) * 3x = 0 (-2x + x2) + (2 + -3) * 3x = 0 Combine like terms: 2 + -3 = -1 -2x + x2 + (-1) * 3x = 0 Multiply -1 * 3 -2x + x2 + -3x = 0 Reorder the terms: -2x + -3x + x2 = 0 Combine like terms: -2x + -3x = -5x -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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