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Simplifying 16x2 + -167x + 385 = 0 Reorder the terms: 385 + -167x + 16x2 = 0 Solving 385 + -167x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (55 + -16x)(7 + -1x) = 0Subproblem 1
Set the factor '(55 + -16x)' equal to zero and attempt to solve: Simplifying 55 + -16x = 0 Solving 55 + -16x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -16x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -16x = 0 + -55 -16x = 0 + -55 Combine like terms: 0 + -55 = -55 -16x = -55 Divide each side by '-16'. x = 3.4375 Simplifying x = 3.4375Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {3.4375, 7}
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