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Simplifying 35v2 + -285v = -280 Reorder the terms: -285v + 35v2 = -280 Solving -285v + 35v2 = -280 Solving for variable 'v'. Reorder the terms: 280 + -285v + 35v2 = -280 + 280 Combine like terms: -280 + 280 = 0 280 + -285v + 35v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(56 + -57v + 7v2) = 0 Factor a trinomial. 5((8 + -7v)(7 + -1v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + -7v)' equal to zero and attempt to solve: Simplifying 8 + -7v = 0 Solving 8 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7v = 0 + -8 -7v = 0 + -8 Combine like terms: 0 + -8 = -8 -7v = -8 Divide each side by '-7'. v = 1.142857143 Simplifying v = 1.142857143Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve: Simplifying 7 + -1v = 0 Solving 7 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1v = 0 + -7 -1v = 0 + -7 Combine like terms: 0 + -7 = -7 -1v = -7 Divide each side by '-1'. v = 7 Simplifying v = 7Solution
v = {1.142857143, 7}
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