7x^2-34=2x^2+16

Solution for 7x^2-34=2x^2+16 equation:

Simplifying
7x2 + -34 = 2x2 + 16

Reorder the terms:
-34 + 7x2 = 2x2 + 16

Reorder the terms:
-34 + 7x2 = 16 + 2x2

Solving
-34 + 7x2 = 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.
-34 + 7x2 + -2x2 = 16 + 2x2 + -2x2

Combine like terms: 7x2 + -2x2 = 5x2
-34 + 5x2 = 16 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-34 + 5x2 = 16 + 0
-34 + 5x2 = 16

Add '34' to each side of the equation.
-34 + 34 + 5x2 = 16 + 34

Combine like terms: -34 + 34 = 0
0 + 5x2 = 16 + 34
5x2 = 16 + 34

Combine like terms: 16 + 34 = 50
5x2 = 50

Divide each side by '5'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}