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Simplifying x2 + 6x + -1 = (x + 3)(x + 3) + -10 Reorder the terms: -1 + 6x + x2 = (x + 3)(x + 3) + -10 Reorder the terms: -1 + 6x + x2 = (3 + x)(x + 3) + -10 Reorder the terms: -1 + 6x + x2 = (3 + x)(3 + x) + -10 Multiply (3 + x) * (3 + x) -1 + 6x + x2 = (3(3 + x) + x(3 + x)) + -10 -1 + 6x + x2 = ((3 * 3 + x * 3) + x(3 + x)) + -10 -1 + 6x + x2 = ((9 + 3x) + x(3 + x)) + -10 -1 + 6x + x2 = (9 + 3x + (3 * x + x * x)) + -10 -1 + 6x + x2 = (9 + 3x + (3x + x2)) + -10 Combine like terms: 3x + 3x = 6x -1 + 6x + x2 = (9 + 6x + x2) + -10 Reorder the terms: -1 + 6x + x2 = 9 + -10 + 6x + x2 Combine like terms: 9 + -10 = -1 -1 + 6x + x2 = -1 + 6x + x2 Add '1' to each side of the equation. -1 + 6x + 1 + x2 = -1 + 6x + 1 + x2 Reorder the terms: -1 + 1 + 6x + x2 = -1 + 6x + 1 + x2 Combine like terms: -1 + 1 = 0 0 + 6x + x2 = -1 + 6x + 1 + x2 6x + x2 = -1 + 6x + 1 + x2 Reorder the terms: 6x + x2 = -1 + 1 + 6x + x2 Combine like terms: -1 + 1 = 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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