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Simplifying 99 = x2 + 30x Reorder the terms: 99 = 30x + x2 Solving 99 = 30x + x2 Solving for variable 'x'. Reorder the terms: 99 + -30x + -1x2 = 30x + -30x + x2 + -1x2 Combine like terms: 30x + -30x = 0 99 + -30x + -1x2 = 0 + x2 + -1x2 99 + -30x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 99 + -30x + -1x2 = 0 Factor a trinomial. (3 + -1x)(33 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(33 + x)' equal to zero and attempt to solve: Simplifying 33 + x = 0 Solving 33 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + x = 0 + -33 x = 0 + -33 Combine like terms: 0 + -33 = -33 x = -33 Simplifying x = -33Solution
x = {3, -33}
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