x^2+115.13=4x^2

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Solution for x^2+115.13=4x^2 equation: 


Simplifying
x2 + 115.13 = 4x2

Reorder the terms:
115.13 + x2 = 4x2

Solving
115.13 + 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.
115.13 + x2 + -4x2 = 4x2 + -4x2

Combine like terms: x2 + -4x2 = -3x2
115.13 + -3x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
115.13 + -3x2 = 0

Add '-115.13' to each side of the equation.
115.13 + -115.13 + -3x2 = 0 + -115.13

Combine like terms: 115.13 + -115.13 = 0.00
0.00 + -3x2 = 0 + -115.13
-3x2 = 0 + -115.13

Combine like terms: 0 + -115.13 = -115.13
-3x2 = -115.13

Divide each side by '-3'.
x2 = 38.37666667

Simplifying
x2 = 38.37666667

Take the square root of each side:
x = {-6.194890368, 6.194890368}

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