4x^2-6=x^2+17

Solution for 4x^2-6=x^2+17 equation:

Simplifying
4x2 + -6 = x2 + 17

Reorder the terms:
-6 + 4x2 = x2 + 17

Reorder the terms:
-6 + 4x2 = 17 + x2

Solving
-6 + 4x2 = 17 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-6 + 4x2 + -1x2 = 17 + x2 + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-6 + 3x2 = 17 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-6 + 3x2 = 17 + 0
-6 + 3x2 = 17

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 17 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 17 + 6
3x2 = 17 + 6

Combine like terms: 17 + 6 = 23
3x2 = 23

Divide each side by '3'.
x2 = 7.666666667

Simplifying
x2 = 7.666666667

Take the square root of each side:
x = {-2.768874621, 2.768874621}