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Simplifying (8x)(8x) + 43x = 7x Remove parenthesis around (8x) 8x(8x) + 43x = 7x Remove parenthesis around (8x) 8x * 8x + 43x = 7x Reorder the terms for easier multiplication: 8 * 8x * x + 43x = 7x Multiply 8 * 8 64x * x + 43x = 7x Multiply x * x 64x2 + 43x = 7x Reorder the terms: 43x + 64x2 = 7x Solving 43x + 64x2 = 7x Solving for variable 'x'. Reorder the terms: 43x + -7x + 64x2 = 7x + -7x Combine like terms: 43x + -7x = 36x 36x + 64x2 = 7x + -7x Combine like terms: 7x + -7x = 0 36x + 64x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(9 + 16x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(9 + 16x)' equal to zero and attempt to solve: Simplifying 9 + 16x = 0 Solving 9 + 16x = 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 + 16x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 16x = 0 + -9 16x = 0 + -9 Combine like terms: 0 + -9 = -9 16x = -9 Divide each side by '16'. x = -0.5625 Simplifying x = -0.5625Solution
x = {0, -0.5625}
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