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Simplifying x2 + 681 = 62x + 9 Reorder the terms: 681 + x2 = 62x + 9 Reorder the terms: 681 + x2 = 9 + 62x Solving 681 + x2 = 9 + 62x Solving for variable 'x'. Reorder the terms: 681 + -9 + -62x + x2 = 9 + 62x + -9 + -62x Combine like terms: 681 + -9 = 672 672 + -62x + x2 = 9 + 62x + -9 + -62x Reorder the terms: 672 + -62x + x2 = 9 + -9 + 62x + -62x Combine like terms: 9 + -9 = 0 672 + -62x + x2 = 0 + 62x + -62x 672 + -62x + x2 = 62x + -62x Combine like terms: 62x + -62x = 0 672 + -62x + x2 = 0 Factor a trinomial. (14 + -1x)(48 + -1x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 2
Set the factor '(48 + -1x)' equal to zero and attempt to solve: Simplifying 48 + -1x = 0 Solving 48 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -1x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -1x = 0 + -48 -1x = 0 + -48 Combine like terms: 0 + -48 = -48 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48Solution
x = {14, 48}
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