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Simplifying (2x + 5)(2x + 5) = 4x2 + 20x + 25 Reorder the terms: (5 + 2x)(2x + 5) = 4x2 + 20x + 25 Reorder the terms: (5 + 2x)(5 + 2x) = 4x2 + 20x + 25 Multiply (5 + 2x) * (5 + 2x) (5(5 + 2x) + 2x * (5 + 2x)) = 4x2 + 20x + 25 ((5 * 5 + 2x * 5) + 2x * (5 + 2x)) = 4x2 + 20x + 25 ((25 + 10x) + 2x * (5 + 2x)) = 4x2 + 20x + 25 (25 + 10x + (5 * 2x + 2x * 2x)) = 4x2 + 20x + 25 (25 + 10x + (10x + 4x2)) = 4x2 + 20x + 25 Combine like terms: 10x + 10x = 20x (25 + 20x + 4x2) = 4x2 + 20x + 25 Reorder the terms: 25 + 20x + 4x2 = 25 + 20x + 4x2 Add '-25' to each side of the equation. 25 + 20x + -25 + 4x2 = 25 + 20x + -25 + 4x2 Reorder the terms: 25 + -25 + 20x + 4x2 = 25 + 20x + -25 + 4x2 Combine like terms: 25 + -25 = 0 0 + 20x + 4x2 = 25 + 20x + -25 + 4x2 20x + 4x2 = 25 + 20x + -25 + 4x2 Reorder the terms: 20x + 4x2 = 25 + -25 + 20x + 4x2 Combine like terms: 25 + -25 = 0 20x + 4x2 = 0 + 20x + 4x2 20x + 4x2 = 20x + 4x2 Add '-20x' to each side of the equation. 20x + -20x + 4x2 = 20x + -20x + 4x2 Combine like terms: 20x + -20x = 0 0 + 4x2 = 20x + -20x + 4x2 4x2 = 20x + -20x + 4x2 Combine like terms: 20x + -20x = 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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