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Simplifying (x2) + -10x + 25 = 1 x2 + -10x + 25 = 1 Reorder the terms: 25 + -10x + x2 = 1 Solving 25 + -10x + x2 = 1 Solving for variable 'x'. Reorder the terms: 25 + -1 + -10x + x2 = 1 + -1 Combine like terms: 25 + -1 = 24 24 + -10x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 24 + -10x + x2 = 0 Factor a trinomial. (4 + -1x)(6 + -1x) = 0Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {4, 6}
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