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Simplifying 3x(x + -2) = 4x(x + 1) Reorder the terms: 3x(-2 + x) = 4x(x + 1) (-2 * 3x + x * 3x) = 4x(x + 1) (-6x + 3x2) = 4x(x + 1) Reorder the terms: -6x + 3x2 = 4x(1 + x) -6x + 3x2 = (1 * 4x + x * 4x) -6x + 3x2 = (4x + 4x2) Solving -6x + 3x2 = 4x + 4x2 Solving for variable 'x'. Reorder the terms: -6x + -4x + 3x2 + -4x2 = 4x + 4x2 + -4x + -4x2 Combine like terms: -6x + -4x = -10x -10x + 3x2 + -4x2 = 4x + 4x2 + -4x + -4x2 Combine like terms: 3x2 + -4x2 = -1x2 -10x + -1x2 = 4x + 4x2 + -4x + -4x2 Reorder the terms: -10x + -1x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 -10x + -1x2 = 0 + 4x2 + -4x2 -10x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -10x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(10 + x) = 0 Ignore the factor -1.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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {0, -10}
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