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Simplifying x(x + -6) = x2 + 5x + 6 Reorder the terms: x(-6 + x) = x2 + 5x + 6 (-6 * x + x * x) = x2 + 5x + 6 (-6x + x2) = x2 + 5x + 6 Reorder the terms: -6x + x2 = 6 + 5x + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 6 + 5x + x2 + -1x2 -6x = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 6 + 5x + 0 -6x = 6 + 5x Solving -6x = 6 + 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. -6x + -5x = 6 + 5x + -5x Combine like terms: -6x + -5x = -11x -11x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -11x = 6 + 0 -11x = 6 Divide each side by '-11'. x = -0.5454545455 Simplifying x = -0.5454545455
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