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Simplifying (x + 1)(x + 1) + -1(16x)(16x) = 0 Reorder the terms: (1 + x)(x + 1) + -1(16x)(16x) = 0 Reorder the terms: (1 + x)(1 + x) + -1(16x)(16x) = 0 Multiply (1 + x) * (1 + x) (1(1 + x) + x(1 + x)) + -1(16x)(16x) = 0 ((1 * 1 + x * 1) + x(1 + x)) + -1(16x)(16x) = 0 ((1 + 1x) + x(1 + x)) + -1(16x)(16x) = 0 (1 + 1x + (1 * x + x * x)) + -1(16x)(16x) = 0 (1 + 1x + (1x + x2)) + -1(16x)(16x) = 0 Combine like terms: 1x + 1x = 2x (1 + 2x + x2) + -1(16x)(16x) = 0 Remove parenthesis around (16x) 1 + 2x + x2 + -1 * 16x(16x) = 0 Remove parenthesis around (16x) 1 + 2x + x2 + -1 * 16x * 16x = 0 Reorder the terms for easier multiplication: 1 + 2x + x2 + -1 * 16 * 16x * x = 0 Multiply -1 * 16 1 + 2x + x2 + -16 * 16x * x = 0 Multiply -16 * 16 1 + 2x + x2 + -256x * x = 0 Multiply x * x 1 + 2x + x2 + -256x2 = 0 Combine like terms: x2 + -256x2 = -255x2 1 + 2x + -255x2 = 0 Solving 1 + 2x + -255x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -15x)(1 + 17x) = 0Subproblem 1
Set the factor '(1 + -15x)' equal to zero and attempt to solve: Simplifying 1 + -15x = 0 Solving 1 + -15x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -15x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = 0 + -1 -15x = 0 + -1 Combine like terms: 0 + -1 = -1 -15x = -1 Divide each side by '-15'. x = 0.06666666667 Simplifying x = 0.06666666667Subproblem 2
Set the factor '(1 + 17x)' equal to zero and attempt to solve: Simplifying 1 + 17x = 0 Solving 1 + 17x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 17x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 17x = 0 + -1 17x = 0 + -1 Combine like terms: 0 + -1 = -1 17x = -1 Divide each side by '17'. x = -0.05882352941 Simplifying x = -0.05882352941Solution
x = {0.06666666667, -0.05882352941}
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