-49x^2+4606x-52000=42080

Solution for -49x^2+4606x-52000=42080 equation:

Simplifying
-49x2 + 4606x + -52000 = 42080

Reorder the terms:
-52000 + 4606x + -49x2 = 42080

Solving
-52000 + 4606x + -49x2 = 42080

Solving for variable 'x'.

Reorder the terms:
-52000 + -42080 + 4606x + -49x2 = 42080 + -42080

Combine like terms: -52000 + -42080 = -94080
-94080 + 4606x + -49x2 = 42080 + -42080

Combine like terms: 42080 + -42080 = 0
-94080 + 4606x + -49x2 = 0

Factor out the Greatest Common Factor (GCF), '49'.
49(-1920 + 94x + -1x2) = 0

Factor a trinomial.
49((-64 + x)(30 + -1x)) = 0

Ignore the factor 49.
Subproblem 1
Set the factor '(-64 + x)' equal to zero and attempt to solve:

Simplifying
-64 + x = 0

Solving
-64 + x = 0

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

Add '64' to each side of the equation.
-64 + 64 + x = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x = 0 + 64
x = 0 + 64

Combine like terms: 0 + 64 = 64
x = 64

Simplifying
x = 64
Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {64, 30}