8x(4x+9)=8x-37

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Solution for 8x(4x+9)=8x-37 equation: 


Simplifying
8x(4x + 9) = 8x + -37

Reorder the terms:
8x(9 + 4x) = 8x + -37
(9 * 8x + 4x * 8x) = 8x + -37
(72x + 32x2) = 8x + -37

Reorder the terms:
72x + 32x2 = -37 + 8x

Solving
72x + 32x2 = -37 + 8x

Solving for variable 'x'.

Reorder the terms:
37 + 72x + -8x + 32x2 = -37 + 8x + 37 + -8x

Combine like terms: 72x + -8x = 64x
37 + 64x + 32x2 = -37 + 8x + 37 + -8x

Reorder the terms:
37 + 64x + 32x2 = -37 + 37 + 8x + -8x

Combine like terms: -37 + 37 = 0
37 + 64x + 32x2 = 0 + 8x + -8x
37 + 64x + 32x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
37 + 64x + 32x2 = 0

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

Divide each side by '32'.
1.15625 + 2x + x2 = 0

Move the constant term to the right:

Add '-1.15625' to each side of the equation.
1.15625 + 2x + -1.15625 + x2 = 0 + -1.15625

Reorder the terms:
1.15625 + -1.15625 + 2x + x2 = 0 + -1.15625

Combine like terms: 1.15625 + -1.15625 = 0.00000
0.00000 + 2x + x2 = 0 + -1.15625
2x + x2 = 0 + -1.15625

Combine like terms: 0 + -1.15625 = -1.15625
2x + x2 = -1.15625

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -1.15625 + 1

Reorder the terms:
1 + 2x + x2 = -1.15625 + 1

Combine like terms: -1.15625 + 1 = -0.15625
1 + 2x + x2 = -0.15625

Factor a perfect square on the left side:
(x + 1)(x + 1) = -0.15625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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