6x^2+77=152+3x^2

Solution for 6x^2+77=152+3x^2 equation:

Simplifying
6x2 + 77 = 152 + 3x2

Reorder the terms:
77 + 6x2 = 152 + 3x2

Solving
77 + 6x2 = 152 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
77 + 6x2 + -3x2 = 152 + 3x2 + -3x2

Combine like terms: 6x2 + -3x2 = 3x2
77 + 3x2 = 152 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
77 + 3x2 = 152 + 0
77 + 3x2 = 152

Add '-77' to each side of the equation.
77 + -77 + 3x2 = 152 + -77

Combine like terms: 77 + -77 = 0
0 + 3x2 = 152 + -77
3x2 = 152 + -77

Combine like terms: 152 + -77 = 75
3x2 = 75

Divide each side by '3'.
x2 = 25

Simplifying
x2 = 25

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