(2x^2+7*6)=(15*x^2+1)

Solution for (2x^2+7*6)=(15*x^2+1) equation:

Simplifying
(2x2 + 7 * 6) = (15x2 + 1)

Multiply 7 * 6
(2x2 + 42) = (15x2 + 1)

Reorder the terms:
(42 + 2x2) = (15x2 + 1)

Remove parenthesis around (42 + 2x2)
42 + 2x2 = (15x2 + 1)

Reorder the terms:
42 + 2x2 = (1 + 15x2)

Remove parenthesis around (1 + 15x2)
42 + 2x2 = 1 + 15x2

Solving
42 + 2x2 = 1 + 15x2

Solving for variable 'x'.

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

Add '-15x2' to each side of the equation.
42 + 2x2 + -15x2 = 1 + 15x2 + -15x2

Combine like terms: 2x2 + -15x2 = -13x2
42 + -13x2 = 1 + 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
42 + -13x2 = 1 + 0
42 + -13x2 = 1

Add '-42' to each side of the equation.
42 + -42 + -13x2 = 1 + -42

Combine like terms: 42 + -42 = 0
0 + -13x2 = 1 + -42
-13x2 = 1 + -42

Combine like terms: 1 + -42 = -41
-13x2 = -41

Divide each side by '-13'.
x2 = 3.153846154

Simplifying
x2 = 3.153846154

Take the square root of each side:
x = {-1.775907136, 1.775907136}