5(x^2+5)=6x^2

Solution for 5(x^2+5)=6x^2 equation:

Simplifying
5(x2 + 5) = 6x2

Reorder the terms:
5(5 + x2) = 6x2
(5 * 5 + x2 * 5) = 6x2
(25 + 5x2) = 6x2

Solving
25 + 5x2 = 6x2

Solving for variable 'x'.

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

Add '-6x2' to each side of the equation.
25 + 5x2 + -6x2 = 6x2 + -6x2

Combine like terms: 5x2 + -6x2 = -1x2
25 + -1x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
25 + -1x2 = 0

Add '-25' to each side of the equation.
25 + -25 + -1x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x2 = 0 + -25
-1x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-1x2 = -25

Divide each side by '-1'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}