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Simplifying x2 + 10x + 9 = x(x + 10) + 9 Reorder the terms: 9 + 10x + x2 = x(x + 10) + 9 Reorder the terms: 9 + 10x + x2 = x(10 + x) + 9 9 + 10x + x2 = (10 * x + x * x) + 9 9 + 10x + x2 = (10x + x2) + 9 Reorder the terms: 9 + 10x + x2 = 9 + 10x + x2 Add '-9' to each side of the equation. 9 + 10x + -9 + x2 = 9 + 10x + -9 + x2 Reorder the terms: 9 + -9 + 10x + x2 = 9 + 10x + -9 + x2 Combine like terms: 9 + -9 = 0 0 + 10x + x2 = 9 + 10x + -9 + x2 10x + x2 = 9 + 10x + -9 + x2 Reorder the terms: 10x + x2 = 9 + -9 + 10x + x2 Combine like terms: 9 + -9 = 0 10x + x2 = 0 + 10x + x2 10x + x2 = 10x + x2 Add '-10x' to each side of the equation. 10x + -10x + x2 = 10x + -10x + x2 Combine like terms: 10x + -10x = 0 0 + x2 = 10x + -10x + x2 x2 = 10x + -10x + x2 Combine like terms: 10x + -10x = 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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