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Simplifying 4x(x + -3) = 2x(x + 1) Reorder the terms: 4x(-3 + x) = 2x(x + 1) (-3 * 4x + x * 4x) = 2x(x + 1) (-12x + 4x2) = 2x(x + 1) Reorder the terms: -12x + 4x2 = 2x(1 + x) -12x + 4x2 = (1 * 2x + x * 2x) -12x + 4x2 = (2x + 2x2) Solving -12x + 4x2 = 2x + 2x2 Solving for variable 'x'. Reorder the terms: -12x + -2x + 4x2 + -2x2 = 2x + 2x2 + -2x + -2x2 Combine like terms: -12x + -2x = -14x -14x + 4x2 + -2x2 = 2x + 2x2 + -2x + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 -14x + 2x2 = 2x + 2x2 + -2x + -2x2 Reorder the terms: -14x + 2x2 = 2x + -2x + 2x2 + -2x2 Combine like terms: 2x + -2x = 0 -14x + 2x2 = 0 + 2x2 + -2x2 -14x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-7 + 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 '(-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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