8x^2-45x=18

Solution for 8x^2-45x=18 equation:

Simplifying
8x2 + -45x = 18

Reorder the terms:
-45x + 8x2 = 18

Solving
-45x + 8x2 = 18

Solving for variable 'x'.

Reorder the terms:
-18 + -45x + 8x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + -45x + 8x2 = 0

Factor a trinomial.
(-3 + -8x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve:

Simplifying
-3 + -8x = 0

Solving
-3 + -8x = 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 + -8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -8x = 0 + 3
-8x = 0 + 3

Combine like terms: 0 + 3 = 3
-8x = 3

Divide each side by '-8'.
x = -0.375

Simplifying
x = -0.375
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-0.375, 6}