63v^2-74v=9

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Solution for 63v^2-74v=9 equation:


Simplifying
63v2 + -74v = 9

Reorder the terms:
-74v + 63v2 = 9

Solving
-74v + 63v2 = 9

Solving for variable 'v'.

Reorder the terms:
-9 + -74v + 63v2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -74v + 63v2 = 0

Factor a trinomial.
(-1 + -9v)(9 + -7v) = 0

Subproblem 1

Set the factor '(-1 + -9v)' equal to zero and attempt to solve: Simplifying -1 + -9v = 0 Solving -1 + -9v = 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 + -9v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9v = 0 + 1 -9v = 0 + 1 Combine like terms: 0 + 1 = 1 -9v = 1 Divide each side by '-9'. v = -0.1111111111 Simplifying v = -0.1111111111

Subproblem 2

Set the factor '(9 + -7v)' equal to zero and attempt to solve: Simplifying 9 + -7v = 0 Solving 9 + -7v = 0 Move all terms containing v to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7v = 0 + -9 -7v = 0 + -9 Combine like terms: 0 + -9 = -9 -7v = -9 Divide each side by '-7'. v = 1.285714286 Simplifying v = 1.285714286

Solution

v = {-0.1111111111, 1.285714286}

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