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Simplifying 39x2 + -47x + 14 = 0 Reorder the terms: 14 + -47x + 39x2 = 0 Solving 14 + -47x + 39x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -13x)(2 + -3x) = 0Subproblem 1
Set the factor '(7 + -13x)' equal to zero and attempt to solve: Simplifying 7 + -13x = 0 Solving 7 + -13x = 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 + -13x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -13x = 0 + -7 -13x = 0 + -7 Combine like terms: 0 + -7 = -7 -13x = -7 Divide each side by '-13'. x = 0.5384615385 Simplifying x = 0.5384615385Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.5384615385, 0.6666666667}
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