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Simplifying 3x(x + -5) = 2x(x + 7) Reorder the terms: 3x(-5 + x) = 2x(x + 7) (-5 * 3x + x * 3x) = 2x(x + 7) (-15x + 3x2) = 2x(x + 7) Reorder the terms: -15x + 3x2 = 2x(7 + x) -15x + 3x2 = (7 * 2x + x * 2x) -15x + 3x2 = (14x + 2x2) Solving -15x + 3x2 = 14x + 2x2 Solving for variable 'x'. Reorder the terms: -15x + -14x + 3x2 + -2x2 = 14x + 2x2 + -14x + -2x2 Combine like terms: -15x + -14x = -29x -29x + 3x2 + -2x2 = 14x + 2x2 + -14x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -29x + 1x2 = 14x + 2x2 + -14x + -2x2 Reorder the terms: -29x + 1x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 -29x + 1x2 = 0 + 2x2 + -2x2 -29x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -29x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-29 + 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 '(-29 + x)' equal to zero and attempt to solve: Simplifying -29 + x = 0 Solving -29 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + x = 0 + 29 x = 0 + 29 Combine like terms: 0 + 29 = 29 x = 29 Simplifying x = 29Solution
x = {0, 29}
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