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Simplifying (x + 5)(x + 2) = x2 + 7x + 10 Reorder the terms: (5 + x)(x + 2) = x2 + 7x + 10 Reorder the terms: (5 + x)(2 + x) = x2 + 7x + 10 Multiply (5 + x) * (2 + x) (5(2 + x) + x(2 + x)) = x2 + 7x + 10 ((2 * 5 + x * 5) + x(2 + x)) = x2 + 7x + 10 ((10 + 5x) + x(2 + x)) = x2 + 7x + 10 (10 + 5x + (2 * x + x * x)) = x2 + 7x + 10 (10 + 5x + (2x + x2)) = x2 + 7x + 10 Combine like terms: 5x + 2x = 7x (10 + 7x + x2) = x2 + 7x + 10 Reorder the terms: 10 + 7x + x2 = 10 + 7x + x2 Add '-10' to each side of the equation. 10 + 7x + -10 + x2 = 10 + 7x + -10 + x2 Reorder the terms: 10 + -10 + 7x + x2 = 10 + 7x + -10 + x2 Combine like terms: 10 + -10 = 0 0 + 7x + x2 = 10 + 7x + -10 + x2 7x + x2 = 10 + 7x + -10 + x2 Reorder the terms: 7x + x2 = 10 + -10 + 7x + x2 Combine like terms: 10 + -10 = 0 7x + x2 = 0 + 7x + x2 7x + x2 = 7x + x2 Add '-7x' to each side of the equation. 7x + -7x + x2 = 7x + -7x + x2 Combine like terms: 7x + -7x = 0 0 + x2 = 7x + -7x + x2 x2 = 7x + -7x + x2 Combine like terms: 7x + -7x = 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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