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Simplifying x(x + -6) = x2 + 3x + 8 Reorder the terms: x(-6 + x) = x2 + 3x + 8 (-6 * x + x * x) = x2 + 3x + 8 (-6x + x2) = x2 + 3x + 8 Reorder the terms: -6x + x2 = 8 + 3x + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 8 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 8 + 3x + x2 + -1x2 -6x = 8 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 8 + 3x + 0 -6x = 8 + 3x Solving -6x = 8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6x + -3x = 8 + 3x + -3x Combine like terms: -6x + -3x = -9x -9x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -9x = 8 + 0 -9x = 8 Divide each side by '-9'. x = -0.8888888889 Simplifying x = -0.8888888889
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