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Simplifying 2600 + -22x + -3x2 = 0 Solving 2600 + -22x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (26 + -1x)(100 + 3x) = 0Subproblem 1
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 = 26Subproblem 2
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 = -33.33333333Solution
x = {26, -33.33333333}
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