9x^2-x=10

Solution for 9x^2-x=10 equation:

Simplifying
9x2 + -1x = 10

Reorder the terms:
-1x + 9x2 = 10

Solving
-1x + 9x2 = 10

Solving for variable 'x'.

Reorder the terms:
-10 + -1x + 9x2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -1x + 9x2 = 0

Factor a trinomial.
(-1 + -1x)(10 + -9x) = 0

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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111
Solution
x = {-1, 1.111111111}