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

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

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

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

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

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

Solving
42 + 2x2 = 15 + 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 = 15 + 15x2 + -15x2

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

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

Add '-42' to each side of the equation.
42 + -42 + -13x2 = 15 + -42

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

Combine like terms: 15 + -42 = -27
-13x2 = -27

Divide each side by '-13'.
x2 = 2.076923077

Simplifying
x2 = 2.076923077

Take the square root of each side:
x = {-1.441153384, 1.441153384}