-7.5a^2+523.1a-20003312.3=0

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Solution for -7.5a^2+523.1a-20003312.3=0 equation:


Simplifying
-7.5a2 + 523.1a + -20003312.3 = 0

Reorder the terms:
-20003312.3 + 523.1a + -7.5a2 = 0

Solving
-20003312.3 + 523.1a + -7.5a2 = 0

Solving for variable 'a'.

Begin completing the square.  Divide all terms by
-7.5 the coefficient of the squared term: 

Divide each side by '-7.5'.
2667108.307 + -69.74666667a + a2 = 0

Move the constant term to the right:

Add '-2667108.307' to each side of the equation.
2667108.307 + -69.74666667a + -2667108.307 + a2 = 0 + -2667108.307

Reorder the terms:
2667108.307 + -2667108.307 + -69.74666667a + a2 = 0 + -2667108.307

Combine like terms: 2667108.307 + -2667108.307 = 0.000
0.000 + -69.74666667a + a2 = 0 + -2667108.307
-69.74666667a + a2 = 0 + -2667108.307

Combine like terms: 0 + -2667108.307 = -2667108.307
-69.74666667a + a2 = -2667108.307

The a term is -69.74666667a.  Take half its coefficient (-34.87333334).
Square it (1216.149378) and add it to both sides.

Add '1216.149378' to each side of the equation.
-69.74666667a + 1216.149378 + a2 = -2667108.307 + 1216.149378

Reorder the terms:
1216.149378 + -69.74666667a + a2 = -2667108.307 + 1216.149378

Combine like terms: -2667108.307 + 1216.149378 = -2665892.157622
1216.149378 + -69.74666667a + a2 = -2665892.157622

Factor a perfect square on the left side:
(a + -34.87333334)(a + -34.87333334) = -2665892.157622

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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