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Simplifying 3x(2x + -2) = 3x(3x + 5) Reorder the terms: 3x(-2 + 2x) = 3x(3x + 5) (-2 * 3x + 2x * 3x) = 3x(3x + 5) (-6x + 6x2) = 3x(3x + 5) Reorder the terms: -6x + 6x2 = 3x(5 + 3x) -6x + 6x2 = (5 * 3x + 3x * 3x) -6x + 6x2 = (15x + 9x2) Solving -6x + 6x2 = 15x + 9x2 Solving for variable 'x'. Reorder the terms: -6x + -15x + 6x2 + -9x2 = 15x + 9x2 + -15x + -9x2 Combine like terms: -6x + -15x = -21x -21x + 6x2 + -9x2 = 15x + 9x2 + -15x + -9x2 Combine like terms: 6x2 + -9x2 = -3x2 -21x + -3x2 = 15x + 9x2 + -15x + -9x2 Reorder the terms: -21x + -3x2 = 15x + -15x + 9x2 + -9x2 Combine like terms: 15x + -15x = 0 -21x + -3x2 = 0 + 9x2 + -9x2 -21x + -3x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -21x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '-3x'. -3x(7 + x) = 0 Ignore the factor -3.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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {0, -7}
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