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Simplifying x(x + -5) = x2 + 6x + 5 Reorder the terms: x(-5 + x) = x2 + 6x + 5 (-5 * x + x * x) = x2 + 6x + 5 (-5x + x2) = x2 + 6x + 5 Reorder the terms: -5x + x2 = 5 + 6x + x2 Add '-1x2' to each side of the equation. -5x + x2 + -1x2 = 5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x + 0 = 5 + 6x + x2 + -1x2 -5x = 5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5x = 5 + 6x + 0 -5x = 5 + 6x Solving -5x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5x + -6x = 5 + 6x + -6x Combine like terms: -5x + -6x = -11x -11x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -11x = 5 + 0 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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