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Simplifying 4x(x + -2) + -2 = 5(x + -2) + -1x Reorder the terms: 4x(-2 + x) + -2 = 5(x + -2) + -1x (-2 * 4x + x * 4x) + -2 = 5(x + -2) + -1x (-8x + 4x2) + -2 = 5(x + -2) + -1x Reorder the terms: -2 + -8x + 4x2 = 5(x + -2) + -1x Reorder the terms: -2 + -8x + 4x2 = 5(-2 + x) + -1x -2 + -8x + 4x2 = (-2 * 5 + x * 5) + -1x -2 + -8x + 4x2 = (-10 + 5x) + -1x Combine like terms: 5x + -1x = 4x -2 + -8x + 4x2 = -10 + 4x Solving -2 + -8x + 4x2 = -10 + 4x Solving for variable 'x'. Reorder the terms: -2 + 10 + -8x + -4x + 4x2 = -10 + 4x + 10 + -4x Combine like terms: -2 + 10 = 8 8 + -8x + -4x + 4x2 = -10 + 4x + 10 + -4x Combine like terms: -8x + -4x = -12x 8 + -12x + 4x2 = -10 + 4x + 10 + -4x Reorder the terms: 8 + -12x + 4x2 = -10 + 10 + 4x + -4x Combine like terms: -10 + 10 = 0 8 + -12x + 4x2 = 0 + 4x + -4x 8 + -12x + 4x2 = 4x + -4x Combine like terms: 4x + -4x = 0 8 + -12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -3x + x2) = 0 Factor a trinomial. 4((1 + -1x)(2 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {1, 2}
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