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Simplifying 1x(1 + 2x) = (2x + -1)(x + -2) (1 * 1x + 2x * 1x) = (2x + -1)(x + -2) (1x + 2x2) = (2x + -1)(x + -2) Reorder the terms: 1x + 2x2 = (-1 + 2x)(x + -2) Reorder the terms: 1x + 2x2 = (-1 + 2x)(-2 + x) Multiply (-1 + 2x) * (-2 + x) 1x + 2x2 = (-1(-2 + x) + 2x * (-2 + x)) 1x + 2x2 = ((-2 * -1 + x * -1) + 2x * (-2 + x)) 1x + 2x2 = ((2 + -1x) + 2x * (-2 + x)) 1x + 2x2 = (2 + -1x + (-2 * 2x + x * 2x)) 1x + 2x2 = (2 + -1x + (-4x + 2x2)) Combine like terms: -1x + -4x = -5x 1x + 2x2 = (2 + -5x + 2x2) Add '-2x2' to each side of the equation. 1x + 2x2 + -2x2 = 2 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x + 0 = 2 + -5x + 2x2 + -2x2 1x = 2 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1x = 2 + -5x + 0 1x = 2 + -5x Solving 1x = 2 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1x + 5x = 2 + -5x + 5x Combine like terms: 1x + 5x = 6x 6x = 2 + -5x + 5x Combine like terms: -5x + 5x = 0 6x = 2 + 0 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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