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Simplifying -4x2 + 4x + 15 = (2x + 3)(5 + -2x) Reorder the terms: 15 + 4x + -4x2 = (2x + 3)(5 + -2x) Reorder the terms: 15 + 4x + -4x2 = (3 + 2x)(5 + -2x) Multiply (3 + 2x) * (5 + -2x) 15 + 4x + -4x2 = (3(5 + -2x) + 2x * (5 + -2x)) 15 + 4x + -4x2 = ((5 * 3 + -2x * 3) + 2x * (5 + -2x)) 15 + 4x + -4x2 = ((15 + -6x) + 2x * (5 + -2x)) 15 + 4x + -4x2 = (15 + -6x + (5 * 2x + -2x * 2x)) 15 + 4x + -4x2 = (15 + -6x + (10x + -4x2)) Combine like terms: -6x + 10x = 4x 15 + 4x + -4x2 = (15 + 4x + -4x2) Add '-15' to each side of the equation. 15 + 4x + -15 + -4x2 = 15 + 4x + -15 + -4x2 Reorder the terms: 15 + -15 + 4x + -4x2 = 15 + 4x + -15 + -4x2 Combine like terms: 15 + -15 = 0 0 + 4x + -4x2 = 15 + 4x + -15 + -4x2 4x + -4x2 = 15 + 4x + -15 + -4x2 Reorder the terms: 4x + -4x2 = 15 + -15 + 4x + -4x2 Combine like terms: 15 + -15 = 0 4x + -4x2 = 0 + 4x + -4x2 4x + -4x2 = 4x + -4x2 Add '-4x' to each side of the equation. 4x + -4x + -4x2 = 4x + -4x + -4x2 Combine like terms: 4x + -4x = 0 0 + -4x2 = 4x + -4x + -4x2 -4x2 = 4x + -4x + -4x2 Combine like terms: 4x + -4x = 0 -4x2 = 0 + -4x2 -4x2 = -4x2 Add '4x2' to each side of the equation. -4x2 + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 0 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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