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Simplifying 4v2 + -135 = -7v Reorder the terms: -135 + 4v2 = -7v Solving -135 + 4v2 = -7v Solving for variable 'v'. Reorder the terms: -135 + 7v + 4v2 = -7v + 7v Combine like terms: -7v + 7v = 0 -135 + 7v + 4v2 = 0 Factor a trinomial. (-27 + -4v)(5 + -1v) = 0Subproblem 1
Set the factor '(-27 + -4v)' equal to zero and attempt to solve: Simplifying -27 + -4v = 0 Solving -27 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -4v = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -4v = 0 + 27 -4v = 0 + 27 Combine like terms: 0 + 27 = 27 -4v = 27 Divide each side by '-4'. v = -6.75 Simplifying v = -6.75Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve: Simplifying 5 + -1v = 0 Solving 5 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5Solution
v = {-6.75, 5}
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