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Simplifying 2x(x + 4) = (x + 1)(2x + -5) Reorder the terms: 2x(4 + x) = (x + 1)(2x + -5) (4 * 2x + x * 2x) = (x + 1)(2x + -5) (8x + 2x2) = (x + 1)(2x + -5) Reorder the terms: 8x + 2x2 = (1 + x)(2x + -5) Reorder the terms: 8x + 2x2 = (1 + x)(-5 + 2x) Multiply (1 + x) * (-5 + 2x) 8x + 2x2 = (1(-5 + 2x) + x(-5 + 2x)) 8x + 2x2 = ((-5 * 1 + 2x * 1) + x(-5 + 2x)) 8x + 2x2 = ((-5 + 2x) + x(-5 + 2x)) 8x + 2x2 = (-5 + 2x + (-5 * x + 2x * x)) 8x + 2x2 = (-5 + 2x + (-5x + 2x2)) Combine like terms: 2x + -5x = -3x 8x + 2x2 = (-5 + -3x + 2x2) Add '-2x2' to each side of the equation. 8x + 2x2 + -2x2 = -5 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8x + 0 = -5 + -3x + 2x2 + -2x2 8x = -5 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 8x = -5 + -3x + 0 8x = -5 + -3x Solving 8x = -5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8x + 3x = -5 + -3x + 3x Combine like terms: 8x + 3x = 11x 11x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 11x = -5 + 0 11x = -5 Divide each side by '11'. x = -0.4545454545 Simplifying x = -0.4545454545
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