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Simplifying 55x + -1x2 = 99 + 35x Solving 55x + -1x2 = 99 + 35x Solving for variable 'x'. Reorder the terms: -99 + 55x + -35x + -1x2 = 99 + 35x + -99 + -35x Combine like terms: 55x + -35x = 20x -99 + 20x + -1x2 = 99 + 35x + -99 + -35x Reorder the terms: -99 + 20x + -1x2 = 99 + -99 + 35x + -35x Combine like terms: 99 + -99 = 0 -99 + 20x + -1x2 = 0 + 35x + -35x -99 + 20x + -1x2 = 35x + -35x Combine like terms: 35x + -35x = 0 -99 + 20x + -1x2 = 0 Factor a trinomial. (-11 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-11 + x)' equal to zero and attempt to solve: Simplifying -11 + x = 0 Solving -11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + x = 0 + 11 x = 0 + 11 Combine like terms: 0 + 11 = 11 x = 11 Simplifying x = 11Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {11, 9}
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