x^2-8x+16=x^2-4x+4

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Solution for x^2-8x+16=x^2-4x+4 equation:


Simplifying
x2 + -8x + 16 = x2 + -4x + 4

Reorder the terms:
16 + -8x + x2 = x2 + -4x + 4

Reorder the terms:
16 + -8x + x2 = 4 + -4x + x2

Add '-1x2' to each side of the equation.
16 + -8x + x2 + -1x2 = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -8x + 0 = 4 + -4x + x2 + -1x2
16 + -8x = 4 + -4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -8x = 4 + -4x + 0
16 + -8x = 4 + -4x

Solving
16 + -8x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
16 + -8x + 4x = 4 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
16 + -4x = 4 + 0
16 + -4x = 4

Add '-16' to each side of the equation.
16 + -16 + -4x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 4 + -16
-4x = 4 + -16

Combine like terms: 4 + -16 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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