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Simplifying x(x + -6) = x2 + 6x + 5 Reorder the terms: x(-6 + x) = x2 + 6x + 5 (-6 * x + x * x) = x2 + 6x + 5 (-6x + x2) = x2 + 6x + 5 Reorder the terms: -6x + x2 = 5 + 6x + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 5 + 6x + x2 + -1x2 -6x = 5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 5 + 6x + 0 -6x = 5 + 6x Solving -6x = 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. -6x + -6x = 5 + 6x + -6x Combine like terms: -6x + -6x = -12x -12x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -12x = 5 + 0 -12x = 5 Divide each side by '-12'. x = -0.4166666667 Simplifying x = -0.4166666667
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