8x^2+x-75=0

Solution for 8x^2+x-75=0 equation:

Simplifying
8x2 + x + -75 = 0

Reorder the terms:
-75 + x + 8x2 = 0

Solving
-75 + x + 8x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-25 + -8x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-25 + -8x)' equal to zero and attempt to solve:

Simplifying
-25 + -8x = 0

Solving
-25 + -8x = 0

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

Add '25' to each side of the equation.
-25 + 25 + -8x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -8x = 0 + 25
-8x = 0 + 25

Combine like terms: 0 + 25 = 25
-8x = 25

Divide each side by '-8'.
x = -3.125

Simplifying
x = -3.125
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 = {-3.125, 3}