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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 = -1x (-2 + -1x + x2) = x2 + 4x Reorder the terms: -2 + -1x + x2 = 4x + x2 Add '-1x2' to each side of the equation. -2 + -1x + x2 + -1x2 = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + -1x + 0 = 4x + x2 + -1x2 -2 + -1x = 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2 + -1x = 4x + 0 -2 + -1x = 4x Solving -2 + -1x = 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 + -1x + -4x = 4x + -4x Combine like terms: -1x + -4x = -5x -2 + -5x = 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -5x = 0 Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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