0=-4x^2+39x+594

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Solution for 0=-4x^2+39x+594 equation: 


Simplifying
0 = -4x2 + 39x + 594

Reorder the terms:
0 = 594 + 39x + -4x2

Solving
0 = 594 + 39x + -4x2

Solving for variable 'x'.

Combine like terms: 0 + -594 = -594
-594 + -39x + 4x2 = 594 + 39x + -4x2 + -594 + -39x + 4x2

Reorder the terms:
-594 + -39x + 4x2 = 594 + -594 + 39x + -39x + -4x2 + 4x2

Combine like terms: 594 + -594 = 0
-594 + -39x + 4x2 = 0 + 39x + -39x + -4x2 + 4x2
-594 + -39x + 4x2 = 39x + -39x + -4x2 + 4x2

Combine like terms: 39x + -39x = 0
-594 + -39x + 4x2 = 0 + -4x2 + 4x2
-594 + -39x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-594 + -39x + 4x2 = 0

Factor a trinomial.
(-33 + -4x)(18 + -1x) = 0


Subproblem 1
Set the factor '(-33 + -4x)' equal to zero and attempt to solve:

Simplifying
-33 + -4x = 0

Solving
-33 + -4x = 0

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

Add '33' to each side of the equation.
-33 + 33 + -4x = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -4x = 0 + 33
-4x = 0 + 33

Combine like terms: 0 + 33 = 33
-4x = 33

Divide each side by '-4'.
x = -8.25

Simplifying
x = -8.25

Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve:

Simplifying
18 + -1x = 0

Solving
18 + -1x = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 0 + -18
-1x = 0 + -18

Combine like terms: 0 + -18 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18
Solution
x = {-8.25, 18}

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