0=(11x-72)(-8x+44)

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Solution for 0=(11x-72)(-8x+44) equation: 


Simplifying
0 = (11x + -72)(-8x + 44)

Reorder the terms:
0 = (-72 + 11x)(-8x + 44)

Reorder the terms:
0 = (-72 + 11x)(44 + -8x)

Multiply (-72 + 11x) * (44 + -8x)
0 = (-72(44 + -8x) + 11x * (44 + -8x))
0 = ((44 * -72 + -8x * -72) + 11x * (44 + -8x))
0 = ((-3168 + 576x) + 11x * (44 + -8x))
0 = (-3168 + 576x + (44 * 11x + -8x * 11x))
0 = (-3168 + 576x + (484x + -88x2))

Combine like terms: 576x + 484x = 1060x
0 = (-3168 + 1060x + -88x2)

Solving
0 = -3168 + 1060x + -88x2

Solving for variable 'x'.

Combine like terms: 0 + 3168 = 3168
3168 + -1060x + 88x2 = -3168 + 1060x + -88x2 + 3168 + -1060x + 88x2

Reorder the terms:
3168 + -1060x + 88x2 = -3168 + 3168 + 1060x + -1060x + -88x2 + 88x2

Combine like terms: -3168 + 3168 = 0
3168 + -1060x + 88x2 = 0 + 1060x + -1060x + -88x2 + 88x2
3168 + -1060x + 88x2 = 1060x + -1060x + -88x2 + 88x2

Combine like terms: 1060x + -1060x = 0
3168 + -1060x + 88x2 = 0 + -88x2 + 88x2
3168 + -1060x + 88x2 = -88x2 + 88x2

Combine like terms: -88x2 + 88x2 = 0
3168 + -1060x + 88x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(792 + -265x + 22x2) = 0

Factor a trinomial.
4((11 + -2x)(72 + -11x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5

Subproblem 2
Set the factor '(72 + -11x)' equal to zero and attempt to solve:

Simplifying
72 + -11x = 0

Solving
72 + -11x = 0

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

Add '-72' to each side of the equation.
72 + -72 + -11x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + -11x = 0 + -72
-11x = 0 + -72

Combine like terms: 0 + -72 = -72
-11x = -72

Divide each side by '-11'.
x = 6.545454545

Simplifying
x = 6.545454545
Solution
x = {5.5, 6.545454545}

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