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Simplifying (1 + -1x)(9 + -1x) + 16 = 0 Multiply (1 + -1x) * (9 + -1x) (1(9 + -1x) + -1x * (9 + -1x)) + 16 = 0 ((9 * 1 + -1x * 1) + -1x * (9 + -1x)) + 16 = 0 ((9 + -1x) + -1x * (9 + -1x)) + 16 = 0 (9 + -1x + (9 * -1x + -1x * -1x)) + 16 = 0 (9 + -1x + (-9x + 1x2)) + 16 = 0 Combine like terms: -1x + -9x = -10x (9 + -10x + 1x2) + 16 = 0 Reorder the terms: 9 + 16 + -10x + 1x2 = 0 Combine like terms: 9 + 16 = 25 25 + -10x + 1x2 = 0 Solving 25 + -10x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {5, 5}
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