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Simplifying -63v2 + -23v + 56 = 0 Reorder the terms: 56 + -23v + -63v2 = 0 Solving 56 + -23v + -63v2 = 0 Solving for variable 'v'. Factor a trinomial. (7 + -9v)(8 + 7v) = 0Subproblem 1
Set the factor '(7 + -9v)' equal to zero and attempt to solve: Simplifying 7 + -9v = 0 Solving 7 + -9v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9v = 0 + -7 -9v = 0 + -7 Combine like terms: 0 + -7 = -7 -9v = -7 Divide each side by '-9'. v = 0.7777777778 Simplifying v = 0.7777777778Subproblem 2
Set the factor '(8 + 7v)' equal to zero and attempt to solve: Simplifying 8 + 7v = 0 Solving 8 + 7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7v = 0 + -8 7v = 0 + -8 Combine like terms: 0 + -8 = -8 7v = -8 Divide each side by '7'. v = -1.142857143 Simplifying v = -1.142857143Solution
v = {0.7777777778, -1.142857143}
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