(11x-44)(x-7)=0

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Solution for (11x-44)(x-7)=0 equation: 


Simplifying
(11x + -44)(x + -7) = 0

Reorder the terms:
(-44 + 11x)(x + -7) = 0

Reorder the terms:
(-44 + 11x)(-7 + x) = 0

Multiply (-44 + 11x) * (-7 + x)
(-44(-7 + x) + 11x * (-7 + x)) = 0
((-7 * -44 + x * -44) + 11x * (-7 + x)) = 0
((308 + -44x) + 11x * (-7 + x)) = 0
(308 + -44x + (-7 * 11x + x * 11x)) = 0
(308 + -44x + (-77x + 11x2)) = 0

Combine like terms: -44x + -77x = -121x
(308 + -121x + 11x2) = 0

Solving
308 + -121x + 11x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '11'.
11(28 + -11x + x2) = 0

Factor a trinomial.
11((4 + -1x)(7 + -1x)) = 0

Ignore the factor 11.

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {4, 7}

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