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Simplifying x(x + -5) = x2 + 9 + 8x Reorder the terms: x(-5 + x) = x2 + 9 + 8x (-5 * x + x * x) = x2 + 9 + 8x (-5x + x2) = x2 + 9 + 8x Reorder the terms: -5x + x2 = 9 + 8x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 9 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 9 + 8x + x2 + -1x2 -5x = 9 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 9 + 8x + 0 -5x = 9 + 8x Solving -5x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5x + -8x = 9 + 8x + -8x Combine like terms: -5x + -8x = -13x -13x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 -13x = 9 + 0 -13x = 9 Divide each side by '-13'. x = -0.6923076923 Simplifying x = -0.6923076923
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