6x^2+9=-55x

Solution for 6x^2+9=-55x equation:

Simplifying
6x2 + 9 = -55x

Reorder the terms:
9 + 6x2 = -55x

Solving
9 + 6x2 = -55x

Solving for variable 'x'.

Reorder the terms:
9 + 55x + 6x2 = -55x + 55x

Combine like terms: -55x + 55x = 0
9 + 55x + 6x2 = 0

Factor a trinomial.
(9 + x)(1 + 6x) = 0

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

Simplifying
9 + x = 0

Solving
9 + x = 0

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

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

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

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

Simplifying
x = -9
Subproblem 2
Set the factor '(1 + 6x)' equal to zero and attempt to solve:

Simplifying
1 + 6x = 0

Solving
1 + 6x = 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 + 6x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 6x = 0 + -1
6x = 0 + -1

Combine like terms: 0 + -1 = -1
6x = -1

Divide each side by '6'.
x = -0.1666666667

Simplifying
x = -0.1666666667
Solution
x = {-9, -0.1666666667}