-41x^2+180x=196

Solution for -41x^2+180x=196 equation:

Simplifying
-41x2 + 180x = 196

Reorder the terms:
180x + -41x2 = 196

Solving
180x + -41x2 = 196

Solving for variable 'x'.

Reorder the terms:
-196 + 180x + -41x2 = 196 + -196

Combine like terms: 196 + -196 = 0
-196 + 180x + -41x2 = 0

Factor a trinomial.
(-98 + 41x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-98 + 41x)' equal to zero and attempt to solve:

Simplifying
-98 + 41x = 0

Solving
-98 + 41x = 0

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

Add '98' to each side of the equation.
-98 + 98 + 41x = 0 + 98

Combine like terms: -98 + 98 = 0
0 + 41x = 0 + 98
41x = 0 + 98

Combine like terms: 0 + 98 = 98
41x = 98

Divide each side by '41'.
x = 2.390243902

Simplifying
x = 2.390243902
Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2.390243902, 2}