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Simplifying 7v2 + 19v + -13 = -7 Reorder the terms: -13 + 19v + 7v2 = -7 Solving -13 + 19v + 7v2 = -7 Solving for variable 'v'. Reorder the terms: -13 + 7 + 19v + 7v2 = -7 + 7 Combine like terms: -13 + 7 = -6 -6 + 19v + 7v2 = -7 + 7 Combine like terms: -7 + 7 = 0 -6 + 19v + 7v2 = 0 Factor a trinomial. (-3 + -1v)(2 + -7v) = 0Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve: Simplifying -3 + -1v = 0 Solving -3 + -1v = 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 + -1v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1v = 0 + 3 -1v = 0 + 3 Combine like terms: 0 + 3 = 3 -1v = 3 Divide each side by '-1'. v = -3 Simplifying v = -3Subproblem 2
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 = 0.2857142857Solution
v = {-3, 0.2857142857}
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