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Simplifying x2 + 6x + -2 = (x2 + 6x + 7) + -7 + -2 Reorder the terms: -2 + 6x + x2 = (x2 + 6x + 7) + -7 + -2 Reorder the terms: -2 + 6x + x2 = (7 + 6x + x2) + -7 + -2 Remove parenthesis around (7 + 6x + x2) -2 + 6x + x2 = 7 + 6x + x2 + -7 + -2 Reorder the terms: -2 + 6x + x2 = 7 + -7 + -2 + 6x + x2 Combine like terms: 7 + -7 = 0 -2 + 6x + x2 = 0 + -2 + 6x + x2 -2 + 6x + x2 = -2 + 6x + x2 Add '2' to each side of the equation. -2 + 6x + 2 + x2 = -2 + 6x + 2 + x2 Reorder the terms: -2 + 2 + 6x + x2 = -2 + 6x + 2 + x2 Combine like terms: -2 + 2 = 0 0 + 6x + x2 = -2 + 6x + 2 + x2 6x + x2 = -2 + 6x + 2 + x2 Reorder the terms: 6x + x2 = -2 + 2 + 6x + x2 Combine like terms: -2 + 2 = 0 6x + x2 = 0 + 6x + x2 6x + x2 = 6x + x2 Add '-6x' to each side of the equation. 6x + -6x + x2 = 6x + -6x + x2 Combine like terms: 6x + -6x = 0 0 + x2 = 6x + -6x + x2 x2 = 6x + -6x + x2 Combine like terms: 6x + -6x = 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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