(32x)(32x)+8x=-35

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Solution for (32x)(32x)+8x=-35 equation:


Simplifying
(32x)(32x) + 8x = -35

Remove parenthesis around (32x)
32x(32x) + 8x = -35

Remove parenthesis around (32x)
32x * 32x + 8x = -35

Reorder the terms for easier multiplication:
32 * 32x * x + 8x = -35

Multiply 32 * 32
1024x * x + 8x = -35

Multiply x * x
1024x2 + 8x = -35

Reorder the terms:
8x + 1024x2 = -35

Solving
8x + 1024x2 = -35

Solving for variable 'x'.

Reorder the terms:
35 + 8x + 1024x2 = -35 + 35

Combine like terms: -35 + 35 = 0
35 + 8x + 1024x2 = 0

Begin completing the square.  Divide all terms by
1024 the coefficient of the squared term: 

Divide each side by '1024'.
0.0341796875 + 0.0078125x + x2 = 0

Move the constant term to the right:

Add '-0.0341796875' to each side of the equation.
0.0341796875 + 0.0078125x + -0.0341796875 + x2 = 0 + -0.0341796875

Reorder the terms:
0.0341796875 + -0.0341796875 + 0.0078125x + x2 = 0 + -0.0341796875

Combine like terms: 0.0341796875 + -0.0341796875 = 0.0000000000
0.0000000000 + 0.0078125x + x2 = 0 + -0.0341796875
0.0078125x + x2 = 0 + -0.0341796875

Combine like terms: 0 + -0.0341796875 = -0.0341796875
0.0078125x + x2 = -0.0341796875

The x term is 0.0078125x.  Take half its coefficient (0.00390625).
Square it (0.00001525878906) and add it to both sides.

Add '0.00001525878906' to each side of the equation.
0.0078125x + 0.00001525878906 + x2 = -0.0341796875 + 0.00001525878906

Reorder the terms:
0.00001525878906 + 0.0078125x + x2 = -0.0341796875 + 0.00001525878906

Combine like terms: -0.0341796875 + 0.00001525878906 = -0.03416442871094
0.00001525878906 + 0.0078125x + x2 = -0.03416442871094

Factor a perfect square on the left side:
(x + 0.00390625)(x + 0.00390625) = -0.03416442871094

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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