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Simplifying (8x + -36)(8x + -36) = 0 Reorder the terms: (-36 + 8x)(8x + -36) = 0 Reorder the terms: (-36 + 8x)(-36 + 8x) = 0 Multiply (-36 + 8x) * (-36 + 8x) (-36(-36 + 8x) + 8x * (-36 + 8x)) = 0 ((-36 * -36 + 8x * -36) + 8x * (-36 + 8x)) = 0 ((1296 + -288x) + 8x * (-36 + 8x)) = 0 (1296 + -288x + (-36 * 8x + 8x * 8x)) = 0 (1296 + -288x + (-288x + 64x2)) = 0 Combine like terms: -288x + -288x = -576x (1296 + -576x + 64x2) = 0 Solving 1296 + -576x + 64x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(81 + -36x + 4x2) = 0 Factor a trinomial. 16((9 + -2x)(9 + -2x)) = 0 Ignore the factor 16.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 '(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 = 4.5Solution
x = {4.5, 4.5}
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