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Simplifying 40v2 + -45v + 32v + -36 = 0 Reorder the terms: -36 + -45v + 32v + 40v2 = 0 Combine like terms: -45v + 32v = -13v -36 + -13v + 40v2 = 0 Solving -36 + -13v + 40v2 = 0 Solving for variable 'v'. Factor a trinomial. (-4 + -5v)(9 + -8v) = 0Subproblem 1
Set the factor '(-4 + -5v)' equal to zero and attempt to solve: Simplifying -4 + -5v = 0 Solving -4 + -5v = 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 + -5v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5v = 0 + 4 -5v = 0 + 4 Combine like terms: 0 + 4 = 4 -5v = 4 Divide each side by '-5'. v = -0.8 Simplifying v = -0.8Subproblem 2
Set the factor '(9 + -8v)' equal to zero and attempt to solve: Simplifying 9 + -8v = 0 Solving 9 + -8v = 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 + -8v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8v = 0 + -9 -8v = 0 + -9 Combine like terms: 0 + -9 = -9 -8v = -9 Divide each side by '-8'. v = 1.125 Simplifying v = 1.125Solution
v = {-0.8, 1.125}
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