2x(4x)+17=2(5x-4)

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Solution for 2x(4x)+17=2(5x-4) equation: 


Simplifying
2x(4x) + 17 = 2(5x + -4)

Remove parenthesis around (4x)
2x * 4x + 17 = 2(5x + -4)

Reorder the terms for easier multiplication:
2 * 4x * x + 17 = 2(5x + -4)

Multiply 2 * 4
8x * x + 17 = 2(5x + -4)

Multiply x * x
8x2 + 17 = 2(5x + -4)

Reorder the terms:
17 + 8x2 = 2(5x + -4)

Reorder the terms:
17 + 8x2 = 2(-4 + 5x)
17 + 8x2 = (-4 * 2 + 5x * 2)
17 + 8x2 = (-8 + 10x)

Solving
17 + 8x2 = -8 + 10x

Solving for variable 'x'.

Reorder the terms:
17 + 8 + -10x + 8x2 = -8 + 10x + 8 + -10x

Combine like terms: 17 + 8 = 25
25 + -10x + 8x2 = -8 + 10x + 8 + -10x

Reorder the terms:
25 + -10x + 8x2 = -8 + 8 + 10x + -10x

Combine like terms: -8 + 8 = 0
25 + -10x + 8x2 = 0 + 10x + -10x
25 + -10x + 8x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -10x + 8x2 = 0

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

Divide each side by '8'.
3.125 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-3.125' to each side of the equation.
3.125 + -1.25x + -3.125 + x2 = 0 + -3.125

Reorder the terms:
3.125 + -3.125 + -1.25x + x2 = 0 + -3.125

Combine like terms: 3.125 + -3.125 = 0.000
0.000 + -1.25x + x2 = 0 + -3.125
-1.25x + x2 = 0 + -3.125

Combine like terms: 0 + -3.125 = -3.125
-1.25x + x2 = -3.125

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -3.125 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -3.125 + 0.390625

Combine like terms: -3.125 + 0.390625 = -2.734375
0.390625 + -1.25x + x2 = -2.734375

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -2.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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