8x^2-45x+58=0

Solution for 8x^2-45x+58=0 equation:

Simplifying
8x2 + -45x + 58 = 0

Reorder the terms:
58 + -45x + 8x2 = 0

Solving
58 + -45x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(29 + -8x) = 0

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Subproblem 2
Set the factor '(29 + -8x)' equal to zero and attempt to solve:

Simplifying
29 + -8x = 0

Solving
29 + -8x = 0

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

Add '-29' to each side of the equation.
29 + -29 + -8x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -8x = 0 + -29
-8x = 0 + -29

Combine like terms: 0 + -29 = -29
-8x = -29

Divide each side by '-8'.
x = 3.625

Simplifying
x = 3.625
Solution
x = {2, 3.625}