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Simplifying 15x2 + -37x + 14 = 0 Reorder the terms: 14 + -37x + 15x2 = 0 Solving 14 + -37x + 15x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -15x)(2 + -1x) = 0Subproblem 1
Set the factor '(7 + -15x)' equal to zero and attempt to solve: Simplifying 7 + -15x = 0 Solving 7 + -15x = 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 + -15x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -15x = 0 + -7 -15x = 0 + -7 Combine like terms: 0 + -7 = -7 -15x = -7 Divide each side by '-15'. x = 0.4666666667 Simplifying x = 0.4666666667Subproblem 2
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 = 2Solution
x = {0.4666666667, 2}
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