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Simplifying 3x2 + 22x + -2600 = 0 Reorder the terms: -2600 + 22x + 3x2 = 0 Solving -2600 + 22x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -3x)(26 + -1x) = 0Subproblem 1
Set the factor '(-100 + -3x)' equal to zero and attempt to solve: Simplifying -100 + -3x = 0 Solving -100 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + -3x = 0 + 100 Combine like terms: -100 + 100 = 0 0 + -3x = 0 + 100 -3x = 0 + 100 Combine like terms: 0 + 100 = 100 -3x = 100 Divide each side by '-3'. x = -33.33333333 Simplifying x = -33.33333333Subproblem 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 = {-33.33333333, 26}
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