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Simplifying 5x(8x + -1) + 5x(8x + -1) = 0 Reorder the terms: 5x(-1 + 8x) + 5x(8x + -1) = 0 (-1 * 5x + 8x * 5x) + 5x(8x + -1) = 0 (-5x + 40x2) + 5x(8x + -1) = 0 Reorder the terms: -5x + 40x2 + 5x(-1 + 8x) = 0 -5x + 40x2 + (-1 * 5x + 8x * 5x) = 0 -5x + 40x2 + (-5x + 40x2) = 0 Reorder the terms: -5x + -5x + 40x2 + 40x2 = 0 Combine like terms: -5x + -5x = -10x -10x + 40x2 + 40x2 = 0 Combine like terms: 40x2 + 40x2 = 80x2 -10x + 80x2 = 0 Solving -10x + 80x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10x'. 10x(-1 + 8x) = 0 Ignore the factor 10.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 + 8x)' equal to zero and attempt to solve: Simplifying -1 + 8x = 0 Solving -1 + 8x = 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 + 8x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 0 + 1 8x = 0 + 1 Combine like terms: 0 + 1 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125Solution
x = {0, 0.125}
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