8x^2-39x+45=0

Solution for 8x^2-39x+45=0 equation:

Simplifying
8x2 + -39x + 45 = 0

Reorder the terms:
45 + -39x + 8x2 = 0

Solving
45 + -39x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + -8x)(3 + -1x) = 0

Subproblem 1
Set the factor '(15 + -8x)' equal to zero and attempt to solve:

Simplifying
15 + -8x = 0

Solving
15 + -8x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -8x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = 0 + -15
-8x = 0 + -15

Combine like terms: 0 + -15 = -15
-8x = -15

Divide each side by '-8'.
x = 1.875

Simplifying
x = 1.875
Subproblem 2
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
Solution
x = {1.875, 3}