(4x^2+2x)-20(x+3x-1)x=5

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Solution for (4x^2+2x)-20(x+3x-1)x=5 equation: 


Simplifying
(4x2 + 2x) + -20(x + 3x + -1) * x = 5

Reorder the terms:
(2x + 4x2) + -20(x + 3x + -1) * x = 5

Remove parenthesis around (2x + 4x2)
2x + 4x2 + -20(x + 3x + -1) * x = 5

Reorder the terms:
2x + 4x2 + -20(-1 + x + 3x) * x = 5

Combine like terms: x + 3x = 4x
2x + 4x2 + -20(-1 + 4x) * x = 5

Reorder the terms for easier multiplication:
2x + 4x2 + -20x(-1 + 4x) = 5
2x + 4x2 + (-1 * -20x + 4x * -20x) = 5
2x + 4x2 + (20x + -80x2) = 5

Reorder the terms:
2x + 20x + 4x2 + -80x2 = 5

Combine like terms: 2x + 20x = 22x
22x + 4x2 + -80x2 = 5

Combine like terms: 4x2 + -80x2 = -76x2
22x + -76x2 = 5

Solving
22x + -76x2 = 5

Solving for variable 'x'.

Reorder the terms:
-5 + 22x + -76x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + 22x + -76x2 = 0

Begin completing the square.  Divide all terms by
-76 the coefficient of the squared term: 

Divide each side by '-76'.
0.06578947368 + -0.2894736842x + x2 = 0

Move the constant term to the right:

Add '-0.06578947368' to each side of the equation.
0.06578947368 + -0.2894736842x + -0.06578947368 + x2 = 0 + -0.06578947368

Reorder the terms:
0.06578947368 + -0.06578947368 + -0.2894736842x + x2 = 0 + -0.06578947368

Combine like terms: 0.06578947368 + -0.06578947368 = 0.00000000000
0.00000000000 + -0.2894736842x + x2 = 0 + -0.06578947368
-0.2894736842x + x2 = 0 + -0.06578947368

Combine like terms: 0 + -0.06578947368 = -0.06578947368
-0.2894736842x + x2 = -0.06578947368

The x term is -0.2894736842x.  Take half its coefficient (-0.1447368421).
Square it (0.02094875346) and add it to both sides.

Add '0.02094875346' to each side of the equation.
-0.2894736842x + 0.02094875346 + x2 = -0.06578947368 + 0.02094875346

Reorder the terms:
0.02094875346 + -0.2894736842x + x2 = -0.06578947368 + 0.02094875346

Combine like terms: -0.06578947368 + 0.02094875346 = -0.04484072022
0.02094875346 + -0.2894736842x + x2 = -0.04484072022

Factor a perfect square on the left side:
(x + -0.1447368421)(x + -0.1447368421) = -0.04484072022

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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