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Simplifying (x + 2)(x + -5) = x * x Reorder the terms: (2 + x)(x + -5) = x * x Reorder the terms: (2 + x)(-5 + x) = x * x Multiply (2 + x) * (-5 + x) (2(-5 + x) + x(-5 + x)) = x * x ((-5 * 2 + x * 2) + x(-5 + x)) = x * x ((-10 + 2x) + x(-5 + x)) = x * x (-10 + 2x + (-5 * x + x * x)) = x * x (-10 + 2x + (-5x + x2)) = x * x Combine like terms: 2x + -5x = -3x (-10 + -3x + x2) = x * x Multiply x * x -10 + -3x + x2 = x2 Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = x2 + -1x2 -10 + -3x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = 0 Solving -10 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333
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