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Simplifying -20v = -28v2 + 8 Reorder the terms: -20v = 8 + -28v2 Solving -20v = 8 + -28v2 Solving for variable 'v'. Reorder the terms: -8 + -20v + 28v2 = 8 + -28v2 + -8 + 28v2 Reorder the terms: -8 + -20v + 28v2 = 8 + -8 + -28v2 + 28v2 Combine like terms: 8 + -8 = 0 -8 + -20v + 28v2 = 0 + -28v2 + 28v2 -8 + -20v + 28v2 = -28v2 + 28v2 Combine like terms: -28v2 + 28v2 = 0 -8 + -20v + 28v2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -5v + 7v2) = 0 Factor a trinomial. 4((-2 + -7v)(1 + -1v)) = 0 Ignore the factor 4.Subproblem 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 '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Solution
v = {-0.2857142857, 1}
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