x^2+4x^2+16=36

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Solution for x^2+4x^2+16=36 equation:


Simplifying
x2 + 4x2 + 16 = 36

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

Combine like terms: x2 + 4x2 = 5x2
16 + 5x2 = 36

Solving
16 + 5x2 = 36

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x2 = 36 + -16

Combine like terms: 16 + -16 = 0
0 + 5x2 = 36 + -16
5x2 = 36 + -16

Combine like terms: 36 + -16 = 20
5x2 = 20

Divide each side by '5'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}

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