0=87-41x+4x^2

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

Simplifying
0 = 87 + -41x + 4x2

Solving
0 = 87 + -41x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -87 = -87
-87 + 41x + -4x2 = 87 + -41x + 4x2 + -87 + 41x + -4x2

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

Combine like terms: 87 + -87 = 0
-87 + 41x + -4x2 = 0 + -41x + 41x + 4x2 + -4x2
-87 + 41x + -4x2 = -41x + 41x + 4x2 + -4x2

Combine like terms: -41x + 41x = 0
-87 + 41x + -4x2 = 0 + 4x2 + -4x2
-87 + 41x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-87 + 41x + -4x2 = 0

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

Subproblem 1
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
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 = {7.25, 3}