4x(x-1)+20=x(3x+4)

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


Simplifying
4x(x + -1) + 20 = x(3x + 4)

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

Reorder the terms:
20 + -4x + 4x2 = x(3x + 4)

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

Solving
20 + -4x + 4x2 = 4x + 3x2

Solving for variable 'x'.

Reorder the terms:
20 + -4x + -4x + 4x2 + -3x2 = 4x + 3x2 + -4x + -3x2

Combine like terms: -4x + -4x = -8x
20 + -8x + 4x2 + -3x2 = 4x + 3x2 + -4x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
20 + -8x + 1x2 = 4x + 3x2 + -4x + -3x2

Reorder the terms:
20 + -8x + 1x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
20 + -8x + 1x2 = 0 + 3x2 + -3x2
20 + -8x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
20 + -8x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -8x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -8x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -8x + x2 = 0 + -20
-8x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-8x + x2 = -20

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -20 + 16

Reorder the terms:
16 + -8x + x2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + -8x + x2 = -4

Factor a perfect square on the left side:
(x + -4)(x + -4) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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