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Simplifying (8x + 3)(8x + 3) = 0 Reorder the terms: (3 + 8x)(8x + 3) = 0 Reorder the terms: (3 + 8x)(3 + 8x) = 0 Multiply (3 + 8x) * (3 + 8x) (3(3 + 8x) + 8x * (3 + 8x)) = 0 ((3 * 3 + 8x * 3) + 8x * (3 + 8x)) = 0 ((9 + 24x) + 8x * (3 + 8x)) = 0 (9 + 24x + (3 * 8x + 8x * 8x)) = 0 (9 + 24x + (24x + 64x2)) = 0 Combine like terms: 24x + 24x = 48x (9 + 48x + 64x2) = 0 Solving 9 + 48x + 64x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + 8x)(3 + 8x) = 0Subproblem 1
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(3 + 8x)' equal to zero and attempt to solve: Simplifying 3 + 8x = 0 Solving 3 + 8x = 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 + 8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 0 + -3 8x = 0 + -3 Combine like terms: 0 + -3 = -3 8x = -3 Divide each side by '8'. x = -0.375 Simplifying x = -0.375Solution
x = {-0.375, -0.375}
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