91v^2+v-2=0

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Solution for 91v^2+v-2=0 equation:


Simplifying
91v2 + v + -2 = 0

Reorder the terms:
-2 + v + 91v2 = 0

Solving
-2 + v + 91v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -13v)(1 + -7v) = 0

Subproblem 1

Set the factor '(-2 + -13v)' equal to zero and attempt to solve: Simplifying -2 + -13v = 0 Solving -2 + -13v = 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 + -13v = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -13v = 0 + 2 -13v = 0 + 2 Combine like terms: 0 + 2 = 2 -13v = 2 Divide each side by '-13'. v = -0.1538461538 Simplifying v = -0.1538461538

Subproblem 2

Set the factor '(1 + -7v)' equal to zero and attempt to solve: Simplifying 1 + -7v = 0 Solving 1 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7v = 0 + -1 -7v = 0 + -1 Combine like terms: 0 + -1 = -1 -7v = -1 Divide each side by '-7'. v = 0.1428571429 Simplifying v = 0.1428571429

Solution

v = {-0.1538461538, 0.1428571429}

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