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Simplifying -4x(X + -5) = 12(x + 3) Reorder the terms: -4x(-5 + X) = 12(x + 3) (-5 * -4x + X * -4x) = 12(x + 3) (20x + -4xX) = 12(x + 3) Reorder the terms: 20x + -4xX = 12(3 + x) 20x + -4xX = (3 * 12 + x * 12) 20x + -4xX = (36 + 12x) Solving 20x + -4xX = 36 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20x + -12x + -4xX = 36 + 12x + -12x Combine like terms: 20x + -12x = 8x 8x + -4xX = 36 + 12x + -12x Combine like terms: 12x + -12x = 0 8x + -4xX = 36 + 0 8x + -4xX = 36 Reorder the terms: -36 + 8x + -4xX = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 8x + -4xX = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + 2x + -1xX) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + 2x + -1xX)' equal to zero and attempt to solve: Simplifying -9 + 2x + -1xX = 0 Solving -9 + 2x + -1xX = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2x + 9 + -1xX = 0 + 9 Reorder the terms: -9 + 9 + 2x + -1xX = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x + -1xX = 0 + 9 2x + -1xX = 0 + 9 Combine like terms: 0 + 9 = 9 2x + -1xX = 9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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