0=4x^2-33x+63

Solution for 0=4x^2-33x+63 equation:

Simplifying
0 = 4x2 + -33x + 63

Reorder the terms:
0 = 63 + -33x + 4x2

Solving
0 = 63 + -33x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -63 = -63
-63 + 33x + -4x2 = 63 + -33x + 4x2 + -63 + 33x + -4x2

Reorder the terms:
-63 + 33x + -4x2 = 63 + -63 + -33x + 33x + 4x2 + -4x2

Combine like terms: 63 + -63 = 0
-63 + 33x + -4x2 = 0 + -33x + 33x + 4x2 + -4x2
-63 + 33x + -4x2 = -33x + 33x + 4x2 + -4x2

Combine like terms: -33x + 33x = 0
-63 + 33x + -4x2 = 0 + 4x2 + -4x2
-63 + 33x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-63 + 33x + -4x2 = 0

Factor a trinomial.
(-21 + 4x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-21 + 4x)' equal to zero and attempt to solve:

Simplifying
-21 + 4x = 0

Solving
-21 + 4x = 0

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

Add '21' to each side of the equation.
-21 + 21 + 4x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 4x = 0 + 21
4x = 0 + 21

Combine like terms: 0 + 21 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {5.25, 3}