(7x^2+6)=(2x^2-4)

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Solution for (7x^2+6)=(2x^2-4) equation:


Simplifying
(7x2 + 6) = (2x2 + -4)

Reorder the terms:
(6 + 7x2) = (2x2 + -4)

Remove parenthesis around (6 + 7x2)
6 + 7x2 = (2x2 + -4)

Reorder the terms:
6 + 7x2 = (-4 + 2x2)

Remove parenthesis around (-4 + 2x2)
6 + 7x2 = -4 + 2x2

Solving
6 + 7x2 = -4 + 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.
6 + 7x2 + -2x2 = -4 + 2x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
6 + 5x2 = -4 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + 5x2 = -4 + 0
6 + 5x2 = -4

Add '-6' to each side of the equation.
6 + -6 + 5x2 = -4 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = -4 + -6
5x2 = -4 + -6

Combine like terms: -4 + -6 = -10
5x2 = -10

Divide each side by '5'.
x2 = -2

Simplifying
x2 = -2

Reorder the terms:
2 + x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + x2 = 0

The solution to this equation could not be determined.

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