4x^2-260x+4000=3024

Solution for 4x^2-260x+4000=3024 equation:

Simplifying
4x2 + -260x + 4000 = 3024

Reorder the terms:
4000 + -260x + 4x2 = 3024

Solving
4000 + -260x + 4x2 = 3024

Solving for variable 'x'.

Reorder the terms:
4000 + -3024 + -260x + 4x2 = 3024 + -3024

Combine like terms: 4000 + -3024 = 976
976 + -260x + 4x2 = 3024 + -3024

Combine like terms: 3024 + -3024 = 0
976 + -260x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(244 + -65x + x2) = 0

Factor a trinomial.
4((4 + -1x)(61 + -1x)) = 0

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Subproblem 2
Set the factor '(61 + -1x)' equal to zero and attempt to solve:

Simplifying
61 + -1x = 0

Solving
61 + -1x = 0

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

Add '-61' to each side of the equation.
61 + -61 + -1x = 0 + -61

Combine like terms: 61 + -61 = 0
0 + -1x = 0 + -61
-1x = 0 + -61

Combine like terms: 0 + -61 = -61
-1x = -61

Divide each side by '-1'.
x = 61

Simplifying
x = 61
Solution
x = {4, 61}