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Simplifying 7v2 + 40v + -63 = 0 Reorder the terms: -63 + 40v + 7v2 = 0 Solving -63 + 40v + 7v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + -1v)(9 + -7v) = 0Subproblem 1
Set the factor '(-7 + -1v)' equal to zero and attempt to solve: Simplifying -7 + -1v = 0 Solving -7 + -1v = 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 + -1v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1v = 0 + 7 -1v = 0 + 7 Combine like terms: 0 + 7 = 7 -1v = 7 Divide each side by '-1'. v = -7 Simplifying v = -7Subproblem 2
Set the factor '(9 + -7v)' equal to zero and attempt to solve: Simplifying 9 + -7v = 0 Solving 9 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = 0 + -9 -7v = 0 + -9 Combine like terms: 0 + -9 = -9 -7v = -9 Divide each side by '-7'. v = 1.285714286 Simplifying v = 1.285714286Solution
v = {-7, 1.285714286}
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