9x^2-13x=-4

Solution for 9x^2-13x=-4 equation:

Simplifying
9x2 + -13x = -4

Reorder the terms:
-13x + 9x2 = -4

Solving
-13x + 9x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -13x + 9x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -13x + 9x2 = 0

Factor a trinomial.
(4 + -9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Subproblem 2
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
Solution
x = {0.4444444444, 1}