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Simplifying -13x2 + 17x + 30 = 0 Reorder the terms: 30 + 17x + -13x2 = 0 Solving 30 + 17x + -13x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + -13x)(1 + x) = 0Subproblem 1
Set the factor '(30 + -13x)' equal to zero and attempt to solve: Simplifying 30 + -13x = 0 Solving 30 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -13x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -13x = 0 + -30 -13x = 0 + -30 Combine like terms: 0 + -30 = -30 -13x = -30 Divide each side by '-13'. x = 2.307692308 Simplifying x = 2.307692308Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {2.307692308, -1}
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