4v^2+9v-133=0

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Solution for 4v^2+9v-133=0 equation:


Simplifying
4v2 + 9v + -133 = 0

Reorder the terms:
-133 + 9v + 4v2 = 0

Solving
-133 + 9v + 4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(19 + -4v) = 0

Subproblem 1

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 = -7

Subproblem 2

Set the factor '(19 + -4v)' equal to zero and attempt to solve: Simplifying 19 + -4v = 0 Solving 19 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -4v = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -4v = 0 + -19 -4v = 0 + -19 Combine like terms: 0 + -19 = -19 -4v = -19 Divide each side by '-4'. v = 4.75 Simplifying v = 4.75

Solution

v = {-7, 4.75}

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