(-4x^2)+73x-294=0

Solution for (-4x^2)+73x-294=0 equation:

Simplifying
(-4x2) + 73x + -294 = 0

Reorder the terms:
-294 + 73x + (-4x2) = 0

Solving
-294 + 73x + (-4x2) = 0

Solving for variable 'x'.

Factor a trinomial.
(-49 + 4x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-49 + 4x)' equal to zero and attempt to solve:

Simplifying
-49 + 4x = 0

Solving
-49 + 4x = 0

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

Add '49' to each side of the equation.
-49 + 49 + 4x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x = 0 + 49
4x = 0 + 49

Combine like terms: 0 + 49 = 49
4x = 49

Divide each side by '4'.
x = 12.25

Simplifying
x = 12.25
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {12.25, 6}