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Simplifying x(x + -5) = x2 + 5x + 9 Reorder the terms: x(-5 + x) = x2 + 5x + 9 (-5 * x + x * x) = x2 + 5x + 9 (-5x + x2) = x2 + 5x + 9 Reorder the terms: -5x + x2 = 9 + 5x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 9 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 9 + 5x + x2 + -1x2 -5x = 9 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 9 + 5x + 0 -5x = 9 + 5x Solving -5x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5x + -5x = 9 + 5x + -5x Combine like terms: -5x + -5x = -10x -10x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -10x = 9 + 0 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9
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