x^2+2x=4x^2+2x

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


Simplifying
x2 + 2x = 4x2 + 2x

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

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

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

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

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

Solving
x2 = 4x2

Solving for variable 'x'.

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

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

Combine like terms: x2 + -4x2 = -3x2
-3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x2 = 0

Divide each side by '-3'.
x2 = 0

Simplifying
x2 = 0

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

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