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Simplifying 0 = 30x2 + -17x + -35 Reorder the terms: 0 = -35 + -17x + 30x2 Solving 0 = -35 + -17x + 30x2 Solving for variable 'x'. Combine like terms: 0 + 35 = 35 35 + 17x + -30x2 = -35 + -17x + 30x2 + 35 + 17x + -30x2 Reorder the terms: 35 + 17x + -30x2 = -35 + 35 + -17x + 17x + 30x2 + -30x2 Combine like terms: -35 + 35 = 0 35 + 17x + -30x2 = 0 + -17x + 17x + 30x2 + -30x2 35 + 17x + -30x2 = -17x + 17x + 30x2 + -30x2 Combine like terms: -17x + 17x = 0 35 + 17x + -30x2 = 0 + 30x2 + -30x2 35 + 17x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 35 + 17x + -30x2 = 0 Factor a trinomial. (7 + -5x)(5 + 6x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(5 + 6x)' equal to zero and attempt to solve: Simplifying 5 + 6x = 0 Solving 5 + 6x = 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 + 6x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 0 + -5 6x = 0 + -5 Combine like terms: 0 + -5 = -5 6x = -5 Divide each side by '6'. x = -0.8333333333 Simplifying x = -0.8333333333Solution
x = {1.4, -0.8333333333}
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