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Simplifying -16x2 + 43x + -22 = 0 Reorder the terms: -22 + 43x + -16x2 = 0 Solving -22 + 43x + -16x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(11 + -16x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(11 + -16x)' equal to zero and attempt to solve: Simplifying 11 + -16x = 0 Solving 11 + -16x = 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 + -16x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -16x = 0 + -11 -16x = 0 + -11 Combine like terms: 0 + -11 = -11 -16x = -11 Divide each side by '-16'. x = 0.6875 Simplifying x = 0.6875Solution
x = {2, 0.6875}
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