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Simplifying (8x + 6)(8x + 6) = 0 Reorder the terms: (6 + 8x)(8x + 6) = 0 Reorder the terms: (6 + 8x)(6 + 8x) = 0 Multiply (6 + 8x) * (6 + 8x) (6(6 + 8x) + 8x * (6 + 8x)) = 0 ((6 * 6 + 8x * 6) + 8x * (6 + 8x)) = 0 ((36 + 48x) + 8x * (6 + 8x)) = 0 (36 + 48x + (6 * 8x + 8x * 8x)) = 0 (36 + 48x + (48x + 64x2)) = 0 Combine like terms: 48x + 48x = 96x (36 + 96x + 64x2) = 0 Solving 36 + 96x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(9 + 24x + 16x2) = 0 Factor a trinomial. 4((3 + 4x)(3 + 4x)) = 0 Ignore the factor 4.Subproblem 1
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 = -0.75Subproblem 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 = {-0.75, -0.75}
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