16x^2-1760x=-28800

Solution for 16x^2-1760x=-28800 equation:

Simplifying
16x2 + -1760x = -28800

Reorder the terms:
-1760x + 16x2 = -28800

Solving
-1760x + 16x2 = -28800

Solving for variable 'x'.

Reorder the terms:
28800 + -1760x + 16x2 = -28800 + 28800

Combine like terms: -28800 + 28800 = 0
28800 + -1760x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(1800 + -110x + x2) = 0

Factor a trinomial.
16((20 + -1x)(90 + -1x)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve:

Simplifying
20 + -1x = 0

Solving
20 + -1x = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1x = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1x = 0 + -20
-1x = 0 + -20

Combine like terms: 0 + -20 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20
Subproblem 2
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {20, 90}