16x^2-132x+252=0

Solution for 16x^2-132x+252=0 equation:

Simplifying
16x2 + -132x + 252 = 0

Reorder the terms:
252 + -132x + 16x2 = 0

Solving
252 + -132x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(63 + -33x + 4x2) = 0

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

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
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
Solution
x = {3, 5.25}