10x^2+99=-101x

Solution for 10x^2+99=-101x equation:

Simplifying
10x2 + 99 = -101x

Reorder the terms:
99 + 10x2 = -101x

Solving
99 + 10x2 = -101x

Solving for variable 'x'.

Reorder the terms:
99 + 101x + 10x2 = -101x + 101x

Combine like terms: -101x + 101x = 0
99 + 101x + 10x2 = 0

Factor a trinomial.
(9 + x)(11 + 10x) = 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 '(11 + 10x)' equal to zero and attempt to solve:

Simplifying
11 + 10x = 0

Solving
11 + 10x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 10x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 10x = 0 + -11
10x = 0 + -11

Combine like terms: 0 + -11 = -11
10x = -11

Divide each side by '10'.
x = -1.1

Simplifying
x = -1.1
Solution
x = {-9, -1.1}