8X+3*5X+3-40X^2=594

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Solution for 8X+3*5X+3-40X^2=594 equation: 


Simplifying
8X + 3 * 5X + 3 + -40X2 = 594

Multiply 3 * 5
8X + 15X + 3 + -40X2 = 594

Reorder the terms:
3 + 8X + 15X + -40X2 = 594

Combine like terms: 8X + 15X = 23X
3 + 23X + -40X2 = 594

Solving
3 + 23X + -40X2 = 594

Solving for variable 'X'.

Reorder the terms:
3 + -594 + 23X + -40X2 = 594 + -594

Combine like terms: 3 + -594 = -591
-591 + 23X + -40X2 = 594 + -594

Combine like terms: 594 + -594 = 0
-591 + 23X + -40X2 = 0

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
14.775 + -0.575X + X2 = 0

Move the constant term to the right:

Add '-14.775' to each side of the equation.
14.775 + -0.575X + -14.775 + X2 = 0 + -14.775

Reorder the terms:
14.775 + -14.775 + -0.575X + X2 = 0 + -14.775

Combine like terms: 14.775 + -14.775 = 0.000
0.000 + -0.575X + X2 = 0 + -14.775
-0.575X + X2 = 0 + -14.775

Combine like terms: 0 + -14.775 = -14.775
-0.575X + X2 = -14.775

The X term is -0.575X.  Take half its coefficient (-0.2875).
Square it (0.08265625) and add it to both sides.

Add '0.08265625' to each side of the equation.
-0.575X + 0.08265625 + X2 = -14.775 + 0.08265625

Reorder the terms:
0.08265625 + -0.575X + X2 = -14.775 + 0.08265625

Combine like terms: -14.775 + 0.08265625 = -14.69234375
0.08265625 + -0.575X + X2 = -14.69234375

Factor a perfect square on the left side:
(X + -0.2875)(X + -0.2875) = -14.69234375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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