3x^2+2(x^2-4)=15

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Solution for 3x^2+2(x^2-4)=15 equation: 


Simplifying
3x2 + 2(x2 + -4) = 15

Reorder the terms:
3x2 + 2(-4 + x2) = 15
3x2 + (-4 * 2 + x2 * 2) = 15
3x2 + (-8 + 2x2) = 15

Reorder the terms:
-8 + 3x2 + 2x2 = 15

Combine like terms: 3x2 + 2x2 = 5x2
-8 + 5x2 = 15

Solving
-8 + 5x2 = 15

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 5x2 = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 5x2 = 15 + 8
5x2 = 15 + 8

Combine like terms: 15 + 8 = 23
5x2 = 23

Divide each side by '5'.
x2 = 4.6

Simplifying
x2 = 4.6

Take the square root of each side:
x = {-2.144761059, 2.144761059}

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