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Simplifying (x + 11)(x + 11) = (x + 15)(x + 1) Reorder the terms: (11 + x)(x + 11) = (x + 15)(x + 1) Reorder the terms: (11 + x)(11 + x) = (x + 15)(x + 1) Multiply (11 + x) * (11 + x) (11(11 + x) + x(11 + x)) = (x + 15)(x + 1) ((11 * 11 + x * 11) + x(11 + x)) = (x + 15)(x + 1) ((121 + 11x) + x(11 + x)) = (x + 15)(x + 1) (121 + 11x + (11 * x + x * x)) = (x + 15)(x + 1) (121 + 11x + (11x + x2)) = (x + 15)(x + 1) Combine like terms: 11x + 11x = 22x (121 + 22x + x2) = (x + 15)(x + 1) Reorder the terms: 121 + 22x + x2 = (15 + x)(x + 1) Reorder the terms: 121 + 22x + x2 = (15 + x)(1 + x) Multiply (15 + x) * (1 + x) 121 + 22x + x2 = (15(1 + x) + x(1 + x)) 121 + 22x + x2 = ((1 * 15 + x * 15) + x(1 + x)) 121 + 22x + x2 = ((15 + 15x) + x(1 + x)) 121 + 22x + x2 = (15 + 15x + (1 * x + x * x)) 121 + 22x + x2 = (15 + 15x + (1x + x2)) Combine like terms: 15x + 1x = 16x 121 + 22x + x2 = (15 + 16x + x2) Add '-1x2' to each side of the equation. 121 + 22x + x2 + -1x2 = 15 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 121 + 22x + 0 = 15 + 16x + x2 + -1x2 121 + 22x = 15 + 16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 121 + 22x = 15 + 16x + 0 121 + 22x = 15 + 16x Solving 121 + 22x = 15 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 121 + 22x + -16x = 15 + 16x + -16x Combine like terms: 22x + -16x = 6x 121 + 6x = 15 + 16x + -16x Combine like terms: 16x + -16x = 0 121 + 6x = 15 + 0 121 + 6x = 15 Add '-121' to each side of the equation. 121 + -121 + 6x = 15 + -121 Combine like terms: 121 + -121 = 0 0 + 6x = 15 + -121 6x = 15 + -121 Combine like terms: 15 + -121 = -106 6x = -106 Divide each side by '6'. x = -17.66666667 Simplifying x = -17.66666667
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