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Simplifying v2 + 12v + -57 = 7 Reorder the terms: -57 + 12v + v2 = 7 Solving -57 + 12v + v2 = 7 Solving for variable 'v'. Reorder the terms: -57 + -7 + 12v + v2 = 7 + -7 Combine like terms: -57 + -7 = -64 -64 + 12v + v2 = 7 + -7 Combine like terms: 7 + -7 = 0 -64 + 12v + v2 = 0 Factor a trinomial. (-16 + -1v)(4 + -1v) = 0Subproblem 1
Set the factor '(-16 + -1v)' equal to zero and attempt to solve: Simplifying -16 + -1v = 0 Solving -16 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1v = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1v = 0 + 16 -1v = 0 + 16 Combine like terms: 0 + 16 = 16 -1v = 16 Divide each side by '-1'. v = -16 Simplifying v = -16Subproblem 2
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Solution
v = {-16, 4}
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