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Simplifying 35v2 + -7 = -28v Reorder the terms: -7 + 35v2 = -28v Solving -7 + 35v2 = -28v Solving for variable 'v'. Reorder the terms: -7 + 28v + 35v2 = -28v + 28v Combine like terms: -28v + 28v = 0 -7 + 28v + 35v2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-1 + 4v + 5v2) = 0 Factor a trinomial. 7((-1 + -1v)(1 + -5v)) = 0 Ignore the factor 7.Subproblem 1
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 = -1Subproblem 2
Set the factor '(1 + -5v)' equal to zero and attempt to solve: Simplifying 1 + -5v = 0 Solving 1 + -5v = 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 + -5v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5v = 0 + -1 -5v = 0 + -1 Combine like terms: 0 + -1 = -1 -5v = -1 Divide each side by '-5'. v = 0.2 Simplifying v = 0.2Solution
v = {-1, 0.2}
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