25v(25v)-30v=-9

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Solution for 25v(25v)-30v=-9 equation:


Simplifying
25v(25v) + -30v = -9

Remove parenthesis around (25v)
25v * 25v + -30v = -9

Reorder the terms for easier multiplication:
25 * 25v * v + -30v = -9

Multiply 25 * 25
625v * v + -30v = -9

Multiply v * v
625v2 + -30v = -9

Reorder the terms:
-30v + 625v2 = -9

Solving
-30v + 625v2 = -9

Solving for variable 'v'.

Reorder the terms:
9 + -30v + 625v2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -30v + 625v2 = 0

Begin completing the square.  Divide all terms by
625 the coefficient of the squared term: 

Divide each side by '625'.
0.0144 + -0.048v + v2 = 0

Move the constant term to the right:

Add '-0.0144' to each side of the equation.
0.0144 + -0.048v + -0.0144 + v2 = 0 + -0.0144

Reorder the terms:
0.0144 + -0.0144 + -0.048v + v2 = 0 + -0.0144

Combine like terms: 0.0144 + -0.0144 = 0.0000
0.0000 + -0.048v + v2 = 0 + -0.0144
-0.048v + v2 = 0 + -0.0144

Combine like terms: 0 + -0.0144 = -0.0144
-0.048v + v2 = -0.0144

The v term is -0.048v.  Take half its coefficient (-0.024).
Square it (0.000576) and add it to both sides.

Add '0.000576' to each side of the equation.
-0.048v + 0.000576 + v2 = -0.0144 + 0.000576

Reorder the terms:
0.000576 + -0.048v + v2 = -0.0144 + 0.000576

Combine like terms: -0.0144 + 0.000576 = -0.013824
0.000576 + -0.048v + v2 = -0.013824

Factor a perfect square on the left side:
(v + -0.024)(v + -0.024) = -0.013824

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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