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Simplifying 12x2 + -17x + 5 = 0 Reorder the terms: 5 + -17x + 12x2 = 0 Solving 5 + -17x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -12x)(1 + -1x) = 0Subproblem 1
Set the factor '(5 + -12x)' equal to zero and attempt to solve: Simplifying 5 + -12x = 0 Solving 5 + -12x = 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 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.4166666667, 1}
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