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Simplifying -1v2 + -25v + -12 = -8v2 Reorder the terms: -12 + -25v + -1v2 = -8v2 Solving -12 + -25v + -1v2 = -8v2 Solving for variable 'v'. Combine like terms: -1v2 + 8v2 = 7v2 -12 + -25v + 7v2 = -8v2 + 8v2 Combine like terms: -8v2 + 8v2 = 0 -12 + -25v + 7v2 = 0 Factor a trinomial. (-3 + -7v)(4 + -1v) = 0Subproblem 1
Set the factor '(-3 + -7v)' equal to zero and attempt to solve: Simplifying -3 + -7v = 0 Solving -3 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7v = 0 + 3 -7v = 0 + 3 Combine like terms: 0 + 3 = 3 -7v = 3 Divide each side by '-7'. v = -0.4285714286 Simplifying v = -0.4285714286Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-0.4285714286, 4}
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