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Simplifying 456x2 + 25x + -266 = 0 Reorder the terms: -266 + 25x + 456x2 = 0 Solving -266 + 25x + 456x2 = 0 Solving for variable 'x'. Factor a trinomial. (-19 + -24x)(14 + -19x) = 0Subproblem 1
Set the factor '(-19 + -24x)' equal to zero and attempt to solve: Simplifying -19 + -24x = 0 Solving -19 + -24x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -24x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -24x = 0 + 19 -24x = 0 + 19 Combine like terms: 0 + 19 = 19 -24x = 19 Divide each side by '-24'. x = -0.7916666667 Simplifying x = -0.7916666667Subproblem 2
Set the factor '(14 + -19x)' equal to zero and attempt to solve: Simplifying 14 + -19x = 0 Solving 14 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -19x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -19x = 0 + -14 -19x = 0 + -14 Combine like terms: 0 + -14 = -14 -19x = -14 Divide each side by '-19'. x = 0.7368421053 Simplifying x = 0.7368421053Solution
x = {-0.7916666667, 0.7368421053}
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