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Simplifying 70x2 + -53x + 9 = 0 Reorder the terms: 9 + -53x + 70x2 = 0 Solving 9 + -53x + 70x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -35x)(1 + -2x) = 0Subproblem 1
Set the factor '(9 + -35x)' equal to zero and attempt to solve: Simplifying 9 + -35x = 0 Solving 9 + -35x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -35x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -35x = 0 + -9 -35x = 0 + -9 Combine like terms: 0 + -9 = -9 -35x = -9 Divide each side by '-35'. x = 0.2571428571 Simplifying x = 0.2571428571Subproblem 2
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 = 0.5Solution
x = {0.2571428571, 0.5}
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