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Simplifying 126x2 + -47x + -385 = 0 Reorder the terms: -385 + -47x + 126x2 = 0 Solving -385 + -47x + 126x2 = 0 Solving for variable 'x'. Factor a trinomial. (-11 + -7x)(35 + -18x) = 0Subproblem 1
Set the factor '(-11 + -7x)' equal to zero and attempt to solve: Simplifying -11 + -7x = 0 Solving -11 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -7x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -7x = 0 + 11 -7x = 0 + 11 Combine like terms: 0 + 11 = 11 -7x = 11 Divide each side by '-7'. x = -1.571428571 Simplifying x = -1.571428571Subproblem 2
Set the factor '(35 + -18x)' equal to zero and attempt to solve: Simplifying 35 + -18x = 0 Solving 35 + -18x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -18x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -18x = 0 + -35 -18x = 0 + -35 Combine like terms: 0 + -35 = -35 -18x = -35 Divide each side by '-18'. x = 1.944444444 Simplifying x = 1.944444444Solution
x = {-1.571428571, 1.944444444}
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