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Simplifying 35x2 + x + -204 = 0 Reorder the terms: -204 + x + 35x2 = 0 Solving -204 + x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -7x)(12 + -5x) = 0Subproblem 1
Set the factor '(-17 + -7x)' equal to zero and attempt to solve: Simplifying -17 + -7x = 0 Solving -17 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -7x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -7x = 0 + 17 -7x = 0 + 17 Combine like terms: 0 + 17 = 17 -7x = 17 Divide each side by '-7'. x = -2.428571429 Simplifying x = -2.428571429Subproblem 2
Set the factor '(12 + -5x)' equal to zero and attempt to solve: Simplifying 12 + -5x = 0 Solving 12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 0 + -12 -5x = 0 + -12 Combine like terms: 0 + -12 = -12 -5x = -12 Divide each side by '-5'. x = 2.4 Simplifying x = 2.4Solution
x = {-2.428571429, 2.4}
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