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Simplifying 0 = 2x2 + 9x + -35 Reorder the terms: 0 = -35 + 9x + 2x2 Solving 0 = -35 + 9x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 35 = 35 35 + -9x + -2x2 = -35 + 9x + 2x2 + 35 + -9x + -2x2 Reorder the terms: 35 + -9x + -2x2 = -35 + 35 + 9x + -9x + 2x2 + -2x2 Combine like terms: -35 + 35 = 0 35 + -9x + -2x2 = 0 + 9x + -9x + 2x2 + -2x2 35 + -9x + -2x2 = 9x + -9x + 2x2 + -2x2 Combine like terms: 9x + -9x = 0 35 + -9x + -2x2 = 0 + 2x2 + -2x2 35 + -9x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 35 + -9x + -2x2 = 0 Factor a trinomial. (5 + -2x)(7 + x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {2.5, -7}
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