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Simplifying -1x2 + 105x + -2600 = 0 Reorder the terms: -2600 + 105x + -1x2 = 0 Solving -2600 + 105x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-65 + x)(40 + -1x) = 0Subproblem 1
Set the factor '(-65 + x)' equal to zero and attempt to solve: Simplifying -65 + x = 0 Solving -65 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + x = 0 + 65 x = 0 + 65 Combine like terms: 0 + 65 = 65 x = 65 Simplifying x = 65Subproblem 2
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Solution
x = {65, 40}
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