4x^2-41x+87=0

Solution for 4x^2-41x+87=0 equation:

Simplifying
4x2 + -41x + 87 = 0

Reorder the terms:
87 + -41x + 4x2 = 0

Solving
87 + -41x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(29 + -4x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(29 + -4x)' equal to zero and attempt to solve:

Simplifying
29 + -4x = 0

Solving
29 + -4x = 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 + -4x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + -4x = 0 + -29
-4x = 0 + -29

Combine like terms: 0 + -29 = -29
-4x = -29

Divide each side by '-4'.
x = 7.25

Simplifying
x = 7.25
Solution
x = {3, 7.25}