7(x^2+2)-2(x^2-2)=80

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Solution for 7(x^2+2)-2(x^2-2)=80 equation: 


Simplifying
7(x2 + 2) + -2(x2 + -2) = 80

Reorder the terms:
7(2 + x2) + -2(x2 + -2) = 80
(2 * 7 + x2 * 7) + -2(x2 + -2) = 80
(14 + 7x2) + -2(x2 + -2) = 80

Reorder the terms:
14 + 7x2 + -2(-2 + x2) = 80
14 + 7x2 + (-2 * -2 + x2 * -2) = 80
14 + 7x2 + (4 + -2x2) = 80

Reorder the terms:
14 + 4 + 7x2 + -2x2 = 80

Combine like terms: 14 + 4 = 18
18 + 7x2 + -2x2 = 80

Combine like terms: 7x2 + -2x2 = 5x2
18 + 5x2 = 80

Solving
18 + 5x2 = 80

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 5x2 = 80 + -18

Combine like terms: 18 + -18 = 0
0 + 5x2 = 80 + -18
5x2 = 80 + -18

Combine like terms: 80 + -18 = 62
5x2 = 62

Divide each side by '5'.
x2 = 12.4

Simplifying
x2 = 12.4

Take the square root of each side:
x = {-3.521363372, 3.521363372}

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