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Simplifying (x + -2)(x + -1) = x2 + 4x Reorder the terms: (-2 + x)(x + -1) = x2 + 4x Reorder the terms: (-2 + x)(-1 + x) = x2 + 4x Multiply (-2 + x) * (-1 + x) (-2(-1 + x) + x(-1 + x)) = x2 + 4x ((-1 * -2 + x * -2) + x(-1 + x)) = x2 + 4x ((2 + -2x) + x(-1 + x)) = x2 + 4x (2 + -2x + (-1 * x + x * x)) = x2 + 4x (2 + -2x + (-1x + x2)) = x2 + 4x Combine like terms: -2x + -1x = -3x (2 + -3x + x2) = x2 + 4x Reorder the terms: 2 + -3x + x2 = 4x + x2 Add '-1x2' to each side of the equation. 2 + -3x + x2 + -1x2 = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -3x + 0 = 4x + x2 + -1x2 2 + -3x = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 2 + -3x = 4x + 0 2 + -3x = 4x Solving 2 + -3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + -3x + -4x = 4x + -4x Combine like terms: -3x + -4x = -7x 2 + -7x = 4x + -4x Combine like terms: 4x + -4x = 0 2 + -7x = 0 Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857
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