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Simplifying x(x + -6) + -1x(1 + -8x) = 0 Reorder the terms: x(-6 + x) + -1x(1 + -8x) = 0 (-6 * x + x * x) + -1x(1 + -8x) = 0 (-6x + x2) + -1x(1 + -8x) = 0 -6x + x2 + (1 * -1x + -8x * -1x) = 0 -6x + x2 + (-1x + 8x2) = 0 Reorder the terms: -6x + -1x + x2 + 8x2 = 0 Combine like terms: -6x + -1x = -7x -7x + x2 + 8x2 = 0 Combine like terms: x2 + 8x2 = 9x2 -7x + 9x2 = 0 Solving -7x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + 9x) = 0Subproblem 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 '(-7 + 9x)' equal to zero and attempt to solve: Simplifying -7 + 9x = 0 Solving -7 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 9x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 0 + 7 9x = 0 + 7 Combine like terms: 0 + 7 = 7 9x = 7 Divide each side by '9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {0, 0.7777777778}
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