2x(4x-2)-5x=-18

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Solution for 2x(4x-2)-5x=-18 equation: 


Simplifying
2x(4x + -2) + -5x = -18

Reorder the terms:
2x(-2 + 4x) + -5x = -18
(-2 * 2x + 4x * 2x) + -5x = -18
(-4x + 8x2) + -5x = -18

Reorder the terms:
-4x + -5x + 8x2 = -18

Combine like terms: -4x + -5x = -9x
-9x + 8x2 = -18

Solving
-9x + 8x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + -9x + 8x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -9x + 8x2 = 0

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

Divide each side by '8'.
2.25 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-2.25' to each side of the equation.
2.25 + -1.125x + -2.25 + x2 = 0 + -2.25

Reorder the terms:
2.25 + -2.25 + -1.125x + x2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + -1.125x + x2 = 0 + -2.25
-1.125x + x2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
-1.125x + x2 = -2.25

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -2.25 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -2.25 + 0.31640625

Combine like terms: -2.25 + 0.31640625 = -1.93359375
0.31640625 + -1.125x + x2 = -1.93359375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -1.93359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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