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Simplifying x2 + 25x + -2600 = 0 Reorder the terms: -2600 + 25x + x2 = 0 Solving -2600 + 25x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-65 + -1x)(40 + -1x) = 0Subproblem 1
Set the factor '(-65 + -1x)' equal to zero and attempt to solve: Simplifying -65 + -1x = 0 Solving -65 + -1x = 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 + -1x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + -1x = 0 + 65 -1x = 0 + 65 Combine like terms: 0 + 65 = 65 -1x = 65 Divide each side by '-1'. 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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