(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}