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Simplifying x2 + -8x + 5 = x2 + -8x + 16 + -11 Reorder the terms: 5 + -8x + x2 = x2 + -8x + 16 + -11 Reorder the terms: 5 + -8x + x2 = 16 + -11 + -8x + x2 Combine like terms: 16 + -11 = 5 5 + -8x + x2 = 5 + -8x + x2 Add '-5' to each side of the equation. 5 + -8x + -5 + x2 = 5 + -8x + -5 + x2 Reorder the terms: 5 + -5 + -8x + x2 = 5 + -8x + -5 + x2 Combine like terms: 5 + -5 = 0 0 + -8x + x2 = 5 + -8x + -5 + x2 -8x + x2 = 5 + -8x + -5 + x2 Reorder the terms: -8x + x2 = 5 + -5 + -8x + x2 Combine like terms: 5 + -5 = 0 -8x + x2 = 0 + -8x + x2 -8x + x2 = -8x + x2 Add '8x' to each side of the equation. -8x + 8x + x2 = -8x + 8x + x2 Combine like terms: -8x + 8x = 0 0 + x2 = -8x + 8x + x2 x2 = -8x + 8x + x2 Combine like terms: -8x + 8x = 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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