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Simplifying x2 + 24x = 1300 Reorder the terms: 24x + x2 = 1300 Solving 24x + x2 = 1300 Solving for variable 'x'. Reorder the terms: -1300 + 24x + x2 = 1300 + -1300 Combine like terms: 1300 + -1300 = 0 -1300 + 24x + x2 = 0 Factor a trinomial. (-50 + -1x)(26 + -1x) = 0Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve: Simplifying -50 + -1x = 0 Solving -50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 0 + 50 -1x = 0 + 50 Combine like terms: 0 + 50 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Solution
x = {-50, 26}
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