4x^2-33x+50=0

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Solution for 4x^2-33x+50=0 equation: 


Simplifying
4x2 + -33x + 50 = 0

Reorder the terms:
50 + -33x + 4x2 = 0

Solving
50 + -33x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(25 + -4x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(25 + -4x)' equal to zero and attempt to solve:

Simplifying
25 + -4x = 0

Solving
25 + -4x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -4x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -4x = 0 + -25
-4x = 0 + -25

Combine like terms: 0 + -25 = -25
-4x = -25

Divide each side by '-4'.
x = 6.25

Simplifying
x = 6.25
Solution
x = {2, 6.25}

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