(21m+10)(11m-33)=0

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Solution for (21m+10)(11m-33)=0 equation: 


Simplifying
(21m + 10)(11m + -33) = 0

Reorder the terms:
(10 + 21m)(11m + -33) = 0

Reorder the terms:
(10 + 21m)(-33 + 11m) = 0

Multiply (10 + 21m) * (-33 + 11m)
(10(-33 + 11m) + 21m * (-33 + 11m)) = 0
((-33 * 10 + 11m * 10) + 21m * (-33 + 11m)) = 0
((-330 + 110m) + 21m * (-33 + 11m)) = 0
(-330 + 110m + (-33 * 21m + 11m * 21m)) = 0
(-330 + 110m + (-693m + 231m2)) = 0

Combine like terms: 110m + -693m = -583m
(-330 + -583m + 231m2) = 0

Solving
-330 + -583m + 231m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '11'.
11(-30 + -53m + 21m2) = 0

Factor a trinomial.
11((-10 + -21m)(3 + -1m)) = 0

Ignore the factor 11.

Subproblem 1
Set the factor '(-10 + -21m)' equal to zero and attempt to solve:

Simplifying
-10 + -21m = 0

Solving
-10 + -21m = 0

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

Add '10' to each side of the equation.
-10 + 10 + -21m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -21m = 0 + 10
-21m = 0 + 10

Combine like terms: 0 + 10 = 10
-21m = 10

Divide each side by '-21'.
m = -0.4761904762

Simplifying
m = -0.4761904762

Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 0

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

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

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

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

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

Simplifying
m = 3
Solution
m = {-0.4761904762, 3}

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