x^2-4x+85=x^2+2x+2

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Solution for x^2-4x+85=x^2+2x+2 equation:


Simplifying
x2 + -4x + 85 = x2 + 2x + 2

Reorder the terms:
85 + -4x + x2 = x2 + 2x + 2

Reorder the terms:
85 + -4x + x2 = 2 + 2x + x2

Add '-1x2' to each side of the equation.
85 + -4x + x2 + -1x2 = 2 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
85 + -4x + 0 = 2 + 2x + x2 + -1x2
85 + -4x = 2 + 2x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
85 + -4x = 2 + 2x + 0
85 + -4x = 2 + 2x

Solving
85 + -4x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
85 + -4x + -2x = 2 + 2x + -2x

Combine like terms: -4x + -2x = -6x
85 + -6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
85 + -6x = 2 + 0
85 + -6x = 2

Add '-85' to each side of the equation.
85 + -85 + -6x = 2 + -85

Combine like terms: 85 + -85 = 0
0 + -6x = 2 + -85
-6x = 2 + -85

Combine like terms: 2 + -85 = -83
-6x = -83

Divide each side by '-6'.
x = 13.83333333

Simplifying
x = 13.83333333

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