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Simplifying (8x + 6)(-4x + -6) = 0 Reorder the terms: (6 + 8x)(-4x + -6) = 0 Reorder the terms: (6 + 8x)(-6 + -4x) = 0 Multiply (6 + 8x) * (-6 + -4x) (6(-6 + -4x) + 8x * (-6 + -4x)) = 0 ((-6 * 6 + -4x * 6) + 8x * (-6 + -4x)) = 0 ((-36 + -24x) + 8x * (-6 + -4x)) = 0 (-36 + -24x + (-6 * 8x + -4x * 8x)) = 0 (-36 + -24x + (-48x + -32x2)) = 0 Combine like terms: -24x + -48x = -72x (-36 + -72x + -32x2) = 0 Solving -36 + -72x + -32x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4'. -4(9 + 18x + 8x2) = 0 Factor a trinomial. -4((3 + 2x)(3 + 4x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 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 = {-1.5, -0.75}
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