8x^2-43x+35=0

Solution for 8x^2-43x+35=0 equation:

Simplifying
8x2 + -43x + 35 = 0

Reorder the terms:
35 + -43x + 8x2 = 0

Solving
35 + -43x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -1x)(35 + -8x) = 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 '(35 + -8x)' equal to zero and attempt to solve:

Simplifying
35 + -8x = 0

Solving
35 + -8x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -8x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -8x = 0 + -35
-8x = 0 + -35

Combine like terms: 0 + -35 = -35
-8x = -35

Divide each side by '-8'.
x = 4.375

Simplifying
x = 4.375
Solution
x = {1, 4.375}