2x^2-4x=-4x+x^2+25

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


Simplifying
2x2 + -4x = -4x + x2 + 25

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

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

Add '4x' to each side of the equation.
-4x + 4x + 2x2 = 25 + -4x + 4x + x2

Combine like terms: -4x + 4x = 0
0 + 2x2 = 25 + -4x + 4x + x2
2x2 = 25 + -4x + 4x + x2

Combine like terms: -4x + 4x = 0
2x2 = 25 + 0 + x2
2x2 = 25 + x2

Solving
2x2 = 25 + x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

Combine like terms: x2 + -1x2 = 0
1x2 = 25 + 0
1x2 = 25

Divide each side by '1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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