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Simplifying (7 + -1x)(3 + -1x) + 4 = 0 Multiply (7 + -1x) * (3 + -1x) (7(3 + -1x) + -1x * (3 + -1x)) + 4 = 0 ((3 * 7 + -1x * 7) + -1x * (3 + -1x)) + 4 = 0 ((21 + -7x) + -1x * (3 + -1x)) + 4 = 0 (21 + -7x + (3 * -1x + -1x * -1x)) + 4 = 0 (21 + -7x + (-3x + 1x2)) + 4 = 0 Combine like terms: -7x + -3x = -10x (21 + -10x + 1x2) + 4 = 0 Reorder the terms: 21 + 4 + -10x + 1x2 = 0 Combine like terms: 21 + 4 = 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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