0=10x^2+66x+36

Solution for 0=10x^2+66x+36 equation:

Simplifying
0 = 10x2 + 66x + 36

Reorder the terms:
0 = 36 + 66x + 10x2

Solving
0 = 36 + 66x + 10x2

Solving for variable 'x'.

Combine like terms: 0 + -36 = -36
-36 + -66x + -10x2 = 36 + 66x + 10x2 + -36 + -66x + -10x2

Reorder the terms:
-36 + -66x + -10x2 = 36 + -36 + 66x + -66x + 10x2 + -10x2

Combine like terms: 36 + -36 = 0
-36 + -66x + -10x2 = 0 + 66x + -66x + 10x2 + -10x2
-36 + -66x + -10x2 = 66x + -66x + 10x2 + -10x2

Combine like terms: 66x + -66x = 0
-36 + -66x + -10x2 = 0 + 10x2 + -10x2
-36 + -66x + -10x2 = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
-36 + -66x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(18 + 33x + 5x2) = 0

Factor a trinomial.
-2((6 + x)(3 + 5x)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-6, -0.6}