25v^2-30v=-9

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Solution for 25v^2-30v=-9 equation:


Simplifying
25v2 + -30v = -9

Reorder the terms:
-30v + 25v2 = -9

Solving
-30v + 25v2 = -9

Solving for variable 'v'.

Reorder the terms:
9 + -30v + 25v2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -30v + 25v2 = 0

Factor a trinomial.
(3 + -5v)(3 + -5v) = 0

Subproblem 1

Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6

Subproblem 2

Set the factor '(3 + -5v)' equal to zero and attempt to solve: Simplifying 3 + -5v = 0 Solving 3 + -5v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5v = 0 + -3 -5v = 0 + -3 Combine like terms: 0 + -3 = -3 -5v = -3 Divide each side by '-5'. v = 0.6 Simplifying v = 0.6

Solution

v = {0.6, 0.6}

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