5x^2-10=4x^2+6

Solution for 5x^2-10=4x^2+6 equation:

Simplifying
5x2 + -10 = 4x2 + 6

Reorder the terms:
-10 + 5x2 = 4x2 + 6

Reorder the terms:
-10 + 5x2 = 6 + 4x2

Solving
-10 + 5x2 = 6 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-10 + 5x2 + -4x2 = 6 + 4x2 + -4x2

Combine like terms: 5x2 + -4x2 = 1x2
-10 + 1x2 = 6 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-10 + 1x2 = 6 + 0
-10 + 1x2 = 6

Add '10' to each side of the equation.
-10 + 10 + 1x2 = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 1x2 = 6 + 10
1x2 = 6 + 10

Combine like terms: 6 + 10 = 16
1x2 = 16

Divide each side by '1'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}