10x^2+27x-9=0

Solution for 10x^2+27x-9=0 equation:

Simplifying
10x2 + 27x + -9 = 0

Reorder the terms:
-9 + 27x + 10x2 = 0

Solving
-9 + 27x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(3 + -10x) = 0

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

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 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 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3
Subproblem 2
Set the factor '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {-3, 0.3}