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Simplifying 56v2 + -45v + 9 = 0 Reorder the terms: 9 + -45v + 56v2 = 0 Solving 9 + -45v + 56v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + -8v)(3 + -7v) = 0Subproblem 1
Set the factor '(3 + -8v)' equal to zero and attempt to solve: Simplifying 3 + -8v = 0 Solving 3 + -8v = 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 + -8v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8v = 0 + -3 -8v = 0 + -3 Combine like terms: 0 + -3 = -3 -8v = -3 Divide each side by '-8'. v = 0.375 Simplifying v = 0.375Subproblem 2
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 = 0.4285714286Solution
v = {0.375, 0.4285714286}
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