4x^2-4x+25=3x(x-2)

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Solution for 4x^2-4x+25=3x(x-2) equation: 


Simplifying
4x2 + -4x + 25 = 3x(x + -2)

Reorder the terms:
25 + -4x + 4x2 = 3x(x + -2)

Reorder the terms:
25 + -4x + 4x2 = 3x(-2 + x)
25 + -4x + 4x2 = (-2 * 3x + x * 3x)
25 + -4x + 4x2 = (-6x + 3x2)

Solving
25 + -4x + 4x2 = -6x + 3x2

Solving for variable 'x'.

Reorder the terms:
25 + -4x + 6x + 4x2 + -3x2 = -6x + 3x2 + 6x + -3x2

Combine like terms: -4x + 6x = 2x
25 + 2x + 4x2 + -3x2 = -6x + 3x2 + 6x + -3x2

Combine like terms: 4x2 + -3x2 = 1x2
25 + 2x + 1x2 = -6x + 3x2 + 6x + -3x2

Reorder the terms:
25 + 2x + 1x2 = -6x + 6x + 3x2 + -3x2

Combine like terms: -6x + 6x = 0
25 + 2x + 1x2 = 0 + 3x2 + -3x2
25 + 2x + 1x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
25 + 2x + 1x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + 2x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + 2x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2x + x2 = 0 + -25
2x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
2x + x2 = -25

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -25 + 1

Reorder the terms:
1 + 2x + x2 = -25 + 1

Combine like terms: -25 + 1 = -24
1 + 2x + x2 = -24

Factor a perfect square on the left side:
(x + 1)(x + 1) = -24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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