x^2+18x+81=2x^2+18x+81

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Solution for x^2+18x+81=2x^2+18x+81 equation:


Simplifying
x2 + 18x + 81 = 2x2 + 18x + 81

Reorder the terms:
81 + 18x + x2 = 2x2 + 18x + 81

Reorder the terms:
81 + 18x + x2 = 81 + 18x + 2x2

Add '-81' to each side of the equation.
81 + 18x + -81 + x2 = 81 + 18x + -81 + 2x2

Reorder the terms:
81 + -81 + 18x + x2 = 81 + 18x + -81 + 2x2

Combine like terms: 81 + -81 = 0
0 + 18x + x2 = 81 + 18x + -81 + 2x2
18x + x2 = 81 + 18x + -81 + 2x2

Reorder the terms:
18x + x2 = 81 + -81 + 18x + 2x2

Combine like terms: 81 + -81 = 0
18x + x2 = 0 + 18x + 2x2
18x + x2 = 18x + 2x2

Add '-18x' to each side of the equation.
18x + -18x + x2 = 18x + -18x + 2x2

Combine like terms: 18x + -18x = 0
0 + x2 = 18x + -18x + 2x2
x2 = 18x + -18x + 2x2

Combine like terms: 18x + -18x = 0
x2 = 0 + 2x2
x2 = 2x2

Solving
x2 = 2x2

Solving for variable 'x'.

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

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

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

Combine like terms: 2x2 + -2x2 = 0
-1x2 = 0

Divide each side by '-1'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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