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Simplifying 112x2 + -79x + -56 = 0 Reorder the terms: -56 + -79x + 112x2 = 0 Solving -56 + -79x + 112x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -16x)(8 + -7x) = 0Subproblem 1
Set the factor '(-7 + -16x)' equal to zero and attempt to solve: Simplifying -7 + -16x = 0 Solving -7 + -16x = 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 + -16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = 0 + 7 -16x = 0 + 7 Combine like terms: 0 + 7 = 7 -16x = 7 Divide each side by '-16'. x = -0.4375 Simplifying x = -0.4375Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-0.4375, 1.142857143}
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