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Simplifying x(x + -6) = x2 + 8x + 13 Reorder the terms: x(-6 + x) = x2 + 8x + 13 (-6 * x + x * x) = x2 + 8x + 13 (-6x + x2) = x2 + 8x + 13 Reorder the terms: -6x + x2 = 13 + 8x + x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = 13 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = 13 + 8x + x2 + -1x2 -6x = 13 + 8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 13 + 8x + 0 -6x = 13 + 8x Solving -6x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -6x + -8x = 13 + 8x + -8x Combine like terms: -6x + -8x = -14x -14x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -14x = 13 + 0 -14x = 13 Divide each side by '-14'. x = -0.9285714286 Simplifying x = -0.9285714286
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