X^2=1089-4X^2

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Solution for X^2=1089-4X^2 equation: 


Simplifying
X2 = 1089 + -4X2

Solving
X2 = 1089 + -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 = 1089 + -4X2 + 4X2

Combine like terms: X2 + 4X2 = 5X2
5X2 = 1089 + -4X2 + 4X2

Combine like terms: -4X2 + 4X2 = 0
5X2 = 1089 + 0
5X2 = 1089

Divide each side by '5'.
X2 = 217.8

Simplifying
X2 = 217.8

Take the square root of each side:
X = {-14.758048651, 14.758048651}

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