x^2-16x+64=x^2+4x+44

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Solution for x^2-16x+64=x^2+4x+44 equation:


Simplifying
x2 + -16x + 64 = x2 + 4x + 44

Reorder the terms:
64 + -16x + x2 = x2 + 4x + 44

Reorder the terms:
64 + -16x + x2 = 44 + 4x + x2

Add '-1x2' to each side of the equation.
64 + -16x + x2 + -1x2 = 44 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -16x + 0 = 44 + 4x + x2 + -1x2
64 + -16x = 44 + 4x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
64 + -16x = 44 + 4x + 0
64 + -16x = 44 + 4x

Solving
64 + -16x = 44 + 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.
64 + -16x + -4x = 44 + 4x + -4x

Combine like terms: -16x + -4x = -20x
64 + -20x = 44 + 4x + -4x

Combine like terms: 4x + -4x = 0
64 + -20x = 44 + 0
64 + -20x = 44

Add '-64' to each side of the equation.
64 + -64 + -20x = 44 + -64

Combine like terms: 64 + -64 = 0
0 + -20x = 44 + -64
-20x = 44 + -64

Combine like terms: 44 + -64 = -20
-20x = -20

Divide each side by '-20'.
x = 1

Simplifying
x = 1

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