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Simplifying 0 = 35x2 + -44x + 12 Reorder the terms: 0 = 12 + -44x + 35x2 Solving 0 = 12 + -44x + 35x2 Solving for variable 'x'. Combine like terms: 0 + -12 = -12 -12 + 44x + -35x2 = 12 + -44x + 35x2 + -12 + 44x + -35x2 Reorder the terms: -12 + 44x + -35x2 = 12 + -12 + -44x + 44x + 35x2 + -35x2 Combine like terms: 12 + -12 = 0 -12 + 44x + -35x2 = 0 + -44x + 44x + 35x2 + -35x2 -12 + 44x + -35x2 = -44x + 44x + 35x2 + -35x2 Combine like terms: -44x + 44x = 0 -12 + 44x + -35x2 = 0 + 35x2 + -35x2 -12 + 44x + -35x2 = 35x2 + -35x2 Combine like terms: 35x2 + -35x2 = 0 -12 + 44x + -35x2 = 0 Factor a trinomial. (-6 + 7x)(2 + -5x) = 0Subproblem 1
Set the factor '(-6 + 7x)' equal to zero and attempt to solve: Simplifying -6 + 7x = 0 Solving -6 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = 0 + 6 7x = 0 + 6 Combine like terms: 0 + 6 = 6 7x = 6 Divide each side by '7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {0.8571428571, 0.4}
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