=9x^2+29x+6

Solution for =9x^2+29x+6 equation:

Simplifying
0 = 9x2 + 29x + 6

Reorder the terms:
0 = 6 + 29x + 9x2

Solving
0 = 6 + 29x + 9x2

Solving for variable 'x'.

Combine like terms: 0 + -6 = -6
-6 + -29x + -9x2 = 6 + 29x + 9x2 + -6 + -29x + -9x2

Reorder the terms:
-6 + -29x + -9x2 = 6 + -6 + 29x + -29x + 9x2 + -9x2

Combine like terms: 6 + -6 = 0
-6 + -29x + -9x2 = 0 + 29x + -29x + 9x2 + -9x2
-6 + -29x + -9x2 = 29x + -29x + 9x2 + -9x2

Combine like terms: 29x + -29x = 0
-6 + -29x + -9x2 = 0 + 9x2 + -9x2
-6 + -29x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-6 + -29x + -9x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + 29x + 9x2) = 0

Factor a trinomial.
-1((3 + x)(2 + 9x)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
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 = {-3, -0.2222222222}