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Simplifying (x + 6)(x + 6) + -5x = x2 + 1 Reorder the terms: (6 + x)(x + 6) + -5x = x2 + 1 Reorder the terms: (6 + x)(6 + x) + -5x = x2 + 1 Multiply (6 + x) * (6 + x) (6(6 + x) + x(6 + x)) + -5x = x2 + 1 ((6 * 6 + x * 6) + x(6 + x)) + -5x = x2 + 1 ((36 + 6x) + x(6 + x)) + -5x = x2 + 1 (36 + 6x + (6 * x + x * x)) + -5x = x2 + 1 (36 + 6x + (6x + x2)) + -5x = x2 + 1 Combine like terms: 6x + 6x = 12x (36 + 12x + x2) + -5x = x2 + 1 Reorder the terms: 36 + 12x + -5x + x2 = x2 + 1 Combine like terms: 12x + -5x = 7x 36 + 7x + x2 = x2 + 1 Reorder the terms: 36 + 7x + x2 = 1 + x2 Add '-1x2' to each side of the equation. 36 + 7x + x2 + -1x2 = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 7x + 0 = 1 + x2 + -1x2 36 + 7x = 1 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 36 + 7x = 1 + 0 36 + 7x = 1 Solving 36 + 7x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 7x = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 7x = 1 + -36 7x = 1 + -36 Combine like terms: 1 + -36 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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