3x^2+4=-2(x^2+8)

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Solution for 3x^2+4=-2(x^2+8) equation:


Simplifying
3x2 + 4 = -2(x2 + 8)

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

Reorder the terms:
4 + 3x2 = -2(8 + x2)
4 + 3x2 = (8 * -2 + x2 * -2)
4 + 3x2 = (-16 + -2x2)

Solving
4 + 3x2 = -16 + -2x2

Solving for variable 'x'.

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

Add '2x2' to each side of the equation.
4 + 3x2 + 2x2 = -16 + -2x2 + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
4 + 5x2 = -16 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
4 + 5x2 = -16 + 0
4 + 5x2 = -16

Add '-4' to each side of the equation.
4 + -4 + 5x2 = -16 + -4

Combine like terms: 4 + -4 = 0
0 + 5x2 = -16 + -4
5x2 = -16 + -4

Combine like terms: -16 + -4 = -20
5x2 = -20

Divide each side by '5'.
x2 = -4

Simplifying
x2 = -4

Reorder the terms:
4 + x2 = -4 + 4

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

The solution to this equation could not be determined.

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