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Simplifying 7v2 + -4 = 12v Reorder the terms: -4 + 7v2 = 12v Solving -4 + 7v2 = 12v Solving for variable 'v'. Reorder the terms: -4 + -12v + 7v2 = 12v + -12v Combine like terms: 12v + -12v = 0 -4 + -12v + 7v2 = 0 Factor a trinomial. (-2 + -7v)(2 + -1v) = 0Subproblem 1
Set the factor '(-2 + -7v)' equal to zero and attempt to solve: Simplifying -2 + -7v = 0 Solving -2 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7v = 0 + 2 -7v = 0 + 2 Combine like terms: 0 + 2 = 2 -7v = 2 Divide each side by '-7'. v = -0.2857142857 Simplifying v = -0.2857142857Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-0.2857142857, 2}
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