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Simplifying 4x(2 + -1x) = -3(2x + 6) (2 * 4x + -1x * 4x) = -3(2x + 6) (8x + -4x2) = -3(2x + 6) Reorder the terms: 8x + -4x2 = -3(6 + 2x) 8x + -4x2 = (6 * -3 + 2x * -3) 8x + -4x2 = (-18 + -6x) Solving 8x + -4x2 = -18 + -6x Solving for variable 'x'. Reorder the terms: 18 + 8x + 6x + -4x2 = -18 + -6x + 18 + 6x Combine like terms: 8x + 6x = 14x 18 + 14x + -4x2 = -18 + -6x + 18 + 6x Reorder the terms: 18 + 14x + -4x2 = -18 + 18 + -6x + 6x Combine like terms: -18 + 18 = 0 18 + 14x + -4x2 = 0 + -6x + 6x 18 + 14x + -4x2 = -6x + 6x Combine like terms: -6x + 6x = 0 18 + 14x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 7x + -2x2) = 0 Factor a trinomial. 2((9 + -2x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {4.5, -1}
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