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Simplifying 0 = x2 + -26x + 48 Reorder the terms: 0 = 48 + -26x + x2 Solving 0 = 48 + -26x + x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + 26x + -1x2 = 48 + -26x + x2 + -48 + 26x + -1x2 Reorder the terms: -48 + 26x + -1x2 = 48 + -48 + -26x + 26x + x2 + -1x2 Combine like terms: 48 + -48 = 0 -48 + 26x + -1x2 = 0 + -26x + 26x + x2 + -1x2 -48 + 26x + -1x2 = -26x + 26x + x2 + -1x2 Combine like terms: -26x + 26x = 0 -48 + 26x + -1x2 = 0 + x2 + -1x2 -48 + 26x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -48 + 26x + -1x2 = 0 Factor a trinomial. (-24 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Simplifying x = 24Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {24, 2}
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