168=4x^2+44x

Solution for 168=4x^2+44x equation:

Simplifying
168 = 4x2 + 44x

Reorder the terms:
168 = 44x + 4x2

Solving
168 = 44x + 4x2

Solving for variable 'x'.

Reorder the terms:
168 + -44x + -4x2 = 44x + -44x + 4x2 + -4x2

Combine like terms: 44x + -44x = 0
168 + -44x + -4x2 = 0 + 4x2 + -4x2
168 + -44x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
168 + -44x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(42 + -11x + -1x2) = 0

Factor a trinomial.
4((3 + -1x)(14 + x)) = 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 '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {3, -14}