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Simplifying x2 + -74x + 1225 = 0 Reorder the terms: 1225 + -74x + x2 = 0 Solving 1225 + -74x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -1x)(49 + -1x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(49 + -1x)' equal to zero and attempt to solve: Simplifying 49 + -1x = 0 Solving 49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -1x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1x = 0 + -49 -1x = 0 + -49 Combine like terms: 0 + -49 = -49 -1x = -49 Divide each side by '-1'. x = 49 Simplifying x = 49Solution
x = {25, 49}
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