0=3x^2+4+6x^2-6-7x

Solution for 0=3x^2+4+6x^2-6-7x equation:

Simplifying
0 = 3x2 + 4 + 6x2 + -6 + -7x

Reorder the terms:
0 = 4 + -6 + -7x + 3x2 + 6x2

Combine like terms: 4 + -6 = -2
0 = -2 + -7x + 3x2 + 6x2

Combine like terms: 3x2 + 6x2 = 9x2
0 = -2 + -7x + 9x2

Solving
0 = -2 + -7x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + 2 = 2
2 + 7x + -9x2 = -2 + -7x + 9x2 + 2 + 7x + -9x2

Reorder the terms:
2 + 7x + -9x2 = -2 + 2 + -7x + 7x + 9x2 + -9x2

Combine like terms: -2 + 2 = 0
2 + 7x + -9x2 = 0 + -7x + 7x + 9x2 + -9x2
2 + 7x + -9x2 = -7x + 7x + 9x2 + -9x2

Combine like terms: -7x + 7x = 0
2 + 7x + -9x2 = 0 + 9x2 + -9x2
2 + 7x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
2 + 7x + -9x2 = 0

Factor a trinomial.
(1 + -1x)(2 + 9x) = 0

Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(2 + 9x)' equal to zero and attempt to solve:

Simplifying
2 + 9x = 0

Solving
2 + 9x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 9x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9x = 0 + -2
9x = 0 + -2

Combine like terms: 0 + -2 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222
Solution
x = {1, -0.2222222222}