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Simplifying 55x + -950 = x2 + -22x + 350 Reorder the terms: -950 + 55x = x2 + -22x + 350 Reorder the terms: -950 + 55x = 350 + -22x + x2 Solving -950 + 55x = 350 + -22x + x2 Solving for variable 'x'. Reorder the terms: -950 + -350 + 55x + 22x + -1x2 = 350 + -22x + x2 + -350 + 22x + -1x2 Combine like terms: -950 + -350 = -1300 -1300 + 55x + 22x + -1x2 = 350 + -22x + x2 + -350 + 22x + -1x2 Combine like terms: 55x + 22x = 77x -1300 + 77x + -1x2 = 350 + -22x + x2 + -350 + 22x + -1x2 Reorder the terms: -1300 + 77x + -1x2 = 350 + -350 + -22x + 22x + x2 + -1x2 Combine like terms: 350 + -350 = 0 -1300 + 77x + -1x2 = 0 + -22x + 22x + x2 + -1x2 -1300 + 77x + -1x2 = -22x + 22x + x2 + -1x2 Combine like terms: -22x + 22x = 0 -1300 + 77x + -1x2 = 0 + x2 + -1x2 -1300 + 77x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -1300 + 77x + -1x2 = 0 Factor a trinomial. (-52 + x)(25 + -1x) = 0Subproblem 1
Set the factor '(-52 + x)' equal to zero and attempt to solve: Simplifying -52 + x = 0 Solving -52 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + x = 0 + 52 x = 0 + 52 Combine like terms: 0 + 52 = 52 x = 52 Simplifying x = 52Subproblem 2
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 = 25Solution
x = {52, 25}
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