4x^2+11=36+x^2

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Solution for 4x^2+11=36+x^2 equation: 


Simplifying
4x2 + 11 = 36 + x2

Reorder the terms:
11 + 4x2 = 36 + x2

Solving
11 + 4x2 = 36 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
11 + 4x2 + -1x2 = 36 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
11 + 3x2 = 36 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
11 + 3x2 = 36 + 0
11 + 3x2 = 36

Add '-11' to each side of the equation.
11 + -11 + 3x2 = 36 + -11

Combine like terms: 11 + -11 = 0
0 + 3x2 = 36 + -11
3x2 = 36 + -11

Combine like terms: 36 + -11 = 25
3x2 = 25

Divide each side by '3'.
x2 = 8.333333333

Simplifying
x2 = 8.333333333

Take the square root of each side:
x = {-2.886751346, 2.886751346}

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