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