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Simplifying x2 + 20x + 64 = (x + 16)(x + 4) Reorder the terms: 64 + 20x + x2 = (x + 16)(x + 4) Reorder the terms: 64 + 20x + x2 = (16 + x)(x + 4) Reorder the terms: 64 + 20x + x2 = (16 + x)(4 + x) Multiply (16 + x) * (4 + x) 64 + 20x + x2 = (16(4 + x) + x(4 + x)) 64 + 20x + x2 = ((4 * 16 + x * 16) + x(4 + x)) 64 + 20x + x2 = ((64 + 16x) + x(4 + x)) 64 + 20x + x2 = (64 + 16x + (4 * x + x * x)) 64 + 20x + x2 = (64 + 16x + (4x + x2)) Combine like terms: 16x + 4x = 20x 64 + 20x + x2 = (64 + 20x + x2) Add '-64' to each side of the equation. 64 + 20x + -64 + x2 = 64 + 20x + -64 + x2 Reorder the terms: 64 + -64 + 20x + x2 = 64 + 20x + -64 + x2 Combine like terms: 64 + -64 = 0 0 + 20x + x2 = 64 + 20x + -64 + x2 20x + x2 = 64 + 20x + -64 + x2 Reorder the terms: 20x + x2 = 64 + -64 + 20x + x2 Combine like terms: 64 + -64 = 0 20x + x2 = 0 + 20x + x2 20x + x2 = 20x + x2 Add '-20x' to each side of the equation. 20x + -20x + x2 = 20x + -20x + x2 Combine like terms: 20x + -20x = 0 0 + x2 = 20x + -20x + x2 x2 = 20x + -20x + x2 Combine like terms: 20x + -20x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 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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