7x^2+9x+6=4

Solution for 7x^2+9x+6=4 equation:

Simplifying
7x2 + 9x + 6 = 4

Reorder the terms:
6 + 9x + 7x2 = 4

Solving
6 + 9x + 7x2 = 4

Solving for variable 'x'.

Reorder the terms:
6 + -4 + 9x + 7x2 = 4 + -4

Combine like terms: 6 + -4 = 2
2 + 9x + 7x2 = 4 + -4

Combine like terms: 4 + -4 = 0
2 + 9x + 7x2 = 0

Factor a trinomial.
(1 + x)(2 + 7x) = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + 7x)' equal to zero and attempt to solve:

Simplifying
2 + 7x = 0

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

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

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

Divide each side by '7'.
x = -0.2857142857

Simplifying
x = -0.2857142857
Solution
x = {-1, -0.2857142857}