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Simplifying 2x(x + 3) = (x + 1)(2x + -5) Reorder the terms: 2x(3 + x) = (x + 1)(2x + -5) (3 * 2x + x * 2x) = (x + 1)(2x + -5) (6x + 2x2) = (x + 1)(2x + -5) Reorder the terms: 6x + 2x2 = (1 + x)(2x + -5) Reorder the terms: 6x + 2x2 = (1 + x)(-5 + 2x) Multiply (1 + x) * (-5 + 2x) 6x + 2x2 = (1(-5 + 2x) + x(-5 + 2x)) 6x + 2x2 = ((-5 * 1 + 2x * 1) + x(-5 + 2x)) 6x + 2x2 = ((-5 + 2x) + x(-5 + 2x)) 6x + 2x2 = (-5 + 2x + (-5 * x + 2x * x)) 6x + 2x2 = (-5 + 2x + (-5x + 2x2)) Combine like terms: 2x + -5x = -3x 6x + 2x2 = (-5 + -3x + 2x2) Add '-2x2' to each side of the equation. 6x + 2x2 + -2x2 = -5 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6x + 0 = -5 + -3x + 2x2 + -2x2 6x = -5 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 6x = -5 + -3x + 0 6x = -5 + -3x Solving 6x = -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. 6x + 3x = -5 + -3x + 3x Combine like terms: 6x + 3x = 9x 9x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 9x = -5 + 0 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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