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Simplifying x(62 + -1x) = 961 (62 * x + -1x * x) = 961 (62x + -1x2) = 961 Solving 62x + -1x2 = 961 Solving for variable 'x'. Reorder the terms: -961 + 62x + -1x2 = 961 + -961 Combine like terms: 961 + -961 = 0 -961 + 62x + -1x2 = 0 Factor a trinomial. (-31 + x)(31 + -1x) = 0Subproblem 1
Set the factor '(-31 + x)' equal to zero and attempt to solve: Simplifying -31 + x = 0 Solving -31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x = 0 + 31 x = 0 + 31 Combine like terms: 0 + 31 = 31 x = 31 Simplifying x = 31Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve: Simplifying 31 + -1x = 0 Solving 31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 0 + -31 -1x = 0 + -31 Combine like terms: 0 + -31 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31Solution
x = {31, 31}
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