-8x^2+21x-13=0

Solution for -8x^2+21x-13=0 equation:

Simplifying
-8x2 + 21x + -13 = 0

Reorder the terms:
-13 + 21x + -8x2 = 0

Solving
-13 + 21x + -8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-13 + 8x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-13 + 8x)' equal to zero and attempt to solve:

Simplifying
-13 + 8x = 0

Solving
-13 + 8x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 8x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = 0 + 13
8x = 0 + 13

Combine like terms: 0 + 13 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625
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 = {1.625, 1}