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Simplifying 4x(x + 1) = (2x + -3)(2x + 5) Reorder the terms: 4x(1 + x) = (2x + -3)(2x + 5) (1 * 4x + x * 4x) = (2x + -3)(2x + 5) (4x + 4x2) = (2x + -3)(2x + 5) Reorder the terms: 4x + 4x2 = (-3 + 2x)(2x + 5) Reorder the terms: 4x + 4x2 = (-3 + 2x)(5 + 2x) Multiply (-3 + 2x) * (5 + 2x) 4x + 4x2 = (-3(5 + 2x) + 2x * (5 + 2x)) 4x + 4x2 = ((5 * -3 + 2x * -3) + 2x * (5 + 2x)) 4x + 4x2 = ((-15 + -6x) + 2x * (5 + 2x)) 4x + 4x2 = (-15 + -6x + (5 * 2x + 2x * 2x)) 4x + 4x2 = (-15 + -6x + (10x + 4x2)) Combine like terms: -6x + 10x = 4x 4x + 4x2 = (-15 + 4x + 4x2) Add '-4x' to each side of the equation. 4x + -4x + 4x2 = -15 + 4x + -4x + 4x2 Combine like terms: 4x + -4x = 0 0 + 4x2 = -15 + 4x + -4x + 4x2 4x2 = -15 + 4x + -4x + 4x2 Combine like terms: 4x + -4x = 0 4x2 = -15 + 0 + 4x2 4x2 = -15 + 4x2 Add '-4x2' to each side of the equation. 4x2 + -4x2 = -15 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = -15 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = -15 + 0 0 = -15 Solving 0 = -15 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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