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Simplifying 8x(8x) + 5x + -7x + 7x = x Remove parenthesis around (8x) 8x * 8x + 5x + -7x + 7x = x Reorder the terms for easier multiplication: 8 * 8x * x + 5x + -7x + 7x = x Multiply 8 * 8 64x * x + 5x + -7x + 7x = x Multiply x * x 64x2 + 5x + -7x + 7x = x Reorder the terms: 5x + -7x + 7x + 64x2 = x Combine like terms: 5x + -7x = -2x -2x + 7x + 64x2 = x Combine like terms: -2x + 7x = 5x 5x + 64x2 = x Solving 5x + 64x2 = x Solving for variable 'x'. Reorder the terms: 5x + -1x + 64x2 = x + -1x Combine like terms: 5x + -1x = 4x 4x + 64x2 = x + -1x Combine like terms: x + -1x = 0 4x + 64x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(1 + 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 '(1 + 16x)' equal to zero and attempt to solve: Simplifying 1 + 16x = 0 Solving 1 + 16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 16x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 16x = 0 + -1 16x = 0 + -1 Combine like terms: 0 + -1 = -1 16x = -1 Divide each side by '16'. x = -0.0625 Simplifying x = -0.0625Solution
x = {0, -0.0625}
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