4x^2-20x+25=x^2+8x-45

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Solution for 4x^2-20x+25=x^2+8x-45 equation: 


Simplifying
4x2 + -20x + 25 = x2 + 8x + -45

Reorder the terms:
25 + -20x + 4x2 = x2 + 8x + -45

Reorder the terms:
25 + -20x + 4x2 = -45 + 8x + x2

Solving
25 + -20x + 4x2 = -45 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
25 + 45 + -20x + -8x + 4x2 + -1x2 = -45 + 8x + x2 + 45 + -8x + -1x2

Combine like terms: 25 + 45 = 70
70 + -20x + -8x + 4x2 + -1x2 = -45 + 8x + x2 + 45 + -8x + -1x2

Combine like terms: -20x + -8x = -28x
70 + -28x + 4x2 + -1x2 = -45 + 8x + x2 + 45 + -8x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
70 + -28x + 3x2 = -45 + 8x + x2 + 45 + -8x + -1x2

Reorder the terms:
70 + -28x + 3x2 = -45 + 45 + 8x + -8x + x2 + -1x2

Combine like terms: -45 + 45 = 0
70 + -28x + 3x2 = 0 + 8x + -8x + x2 + -1x2
70 + -28x + 3x2 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
70 + -28x + 3x2 = 0 + x2 + -1x2
70 + -28x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
70 + -28x + 3x2 = 0

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

Divide each side by '3'.
23.33333333 + -9.333333333x + x2 = 0

Move the constant term to the right:

Add '-23.33333333' to each side of the equation.
23.33333333 + -9.333333333x + -23.33333333 + x2 = 0 + -23.33333333

Reorder the terms:
23.33333333 + -23.33333333 + -9.333333333x + x2 = 0 + -23.33333333

Combine like terms: 23.33333333 + -23.33333333 = 0.00000000
0.00000000 + -9.333333333x + x2 = 0 + -23.33333333
-9.333333333x + x2 = 0 + -23.33333333

Combine like terms: 0 + -23.33333333 = -23.33333333
-9.333333333x + x2 = -23.33333333

The x term is -9.333333333x.  Take half its coefficient (-4.666666667).
Square it (21.77777778) and add it to both sides.

Add '21.77777778' to each side of the equation.
-9.333333333x + 21.77777778 + x2 = -23.33333333 + 21.77777778

Reorder the terms:
21.77777778 + -9.333333333x + x2 = -23.33333333 + 21.77777778

Combine like terms: -23.33333333 + 21.77777778 = -1.55555555
21.77777778 + -9.333333333x + x2 = -1.55555555

Factor a perfect square on the left side:
(x + -4.666666667)(x + -4.666666667) = -1.55555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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