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Simplifying 13x2 + -56x + 60 = 0 Reorder the terms: 60 + -56x + 13x2 = 0 Solving 60 + -56x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -1x)(30 + -13x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
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 = 2.307692308Solution
x = {2, 2.307692308}
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