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Simplifying x(x + -5) = x2 + 2x + 6 Reorder the terms: x(-5 + x) = x2 + 2x + 6 (-5 * x + x * x) = x2 + 2x + 6 (-5x + x2) = x2 + 2x + 6 Reorder the terms: -5x + x2 = 6 + 2x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 6 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 6 + 2x + x2 + -1x2 -5x = 6 + 2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 6 + 2x + 0 -5x = 6 + 2x Solving -5x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5x + -2x = 6 + 2x + -2x Combine like terms: -5x + -2x = -7x -7x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -7x = 6 + 0 -7x = 6 Divide each side by '-7'. x = -0.8571428571 Simplifying x = -0.8571428571
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