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Simplifying (4x + 3)(-2x + -2) = 0 Reorder the terms: (3 + 4x)(-2x + -2) = 0 Reorder the terms: (3 + 4x)(-2 + -2x) = 0 Multiply (3 + 4x) * (-2 + -2x) (3(-2 + -2x) + 4x * (-2 + -2x)) = 0 ((-2 * 3 + -2x * 3) + 4x * (-2 + -2x)) = 0 ((-6 + -6x) + 4x * (-2 + -2x)) = 0 (-6 + -6x + (-2 * 4x + -2x * 4x)) = 0 (-6 + -6x + (-8x + -8x2)) = 0 Combine like terms: -6x + -8x = -14x (-6 + -14x + -8x2) = 0 Solving -6 + -14x + -8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(3 + 7x + 4x2) = 0 Factor a trinomial. -2((1 + x)(3 + 4x)) = 0 Ignore the factor -2.Subproblem 1
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 = -1Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-1, -0.75}
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