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Simplifying 14X2 + -3X + -5 = 0 Reorder the terms: -5 + -3X + 14X2 = 0 Solving -5 + -3X + 14X2 = 0 Solving for variable 'X'. Factor a trinomial. (-1 + -2X)(5 + -7X) = 0Subproblem 1
Set the factor '(-1 + -2X)' equal to zero and attempt to solve: Simplifying -1 + -2X = 0 Solving -1 + -2X = 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 + -2X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2X = 0 + 1 -2X = 0 + 1 Combine like terms: 0 + 1 = 1 -2X = 1 Divide each side by '-2'. X = -0.5 Simplifying X = -0.5Subproblem 2
Set the factor '(5 + -7X)' equal to zero and attempt to solve: Simplifying 5 + -7X = 0 Solving 5 + -7X = 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 + -7X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7X = 0 + -5 -7X = 0 + -5 Combine like terms: 0 + -5 = -5 -7X = -5 Divide each side by '-7'. X = 0.7142857143 Simplifying X = 0.7142857143Solution
X = {-0.5, 0.7142857143}
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