24m^2-8m-30=10(8m-3)

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Solution for 24m^2-8m-30=10(8m-3) equation: 


Simplifying
24m2 + -8m + -30 = 10(8m + -3)

Reorder the terms:
-30 + -8m + 24m2 = 10(8m + -3)

Reorder the terms:
-30 + -8m + 24m2 = 10(-3 + 8m)
-30 + -8m + 24m2 = (-3 * 10 + 8m * 10)
-30 + -8m + 24m2 = (-30 + 80m)

Add '30' to each side of the equation.
-30 + -8m + 30 + 24m2 = -30 + 30 + 80m

Reorder the terms:
-30 + 30 + -8m + 24m2 = -30 + 30 + 80m

Combine like terms: -30 + 30 = 0
0 + -8m + 24m2 = -30 + 30 + 80m
-8m + 24m2 = -30 + 30 + 80m

Combine like terms: -30 + 30 = 0
-8m + 24m2 = 0 + 80m
-8m + 24m2 = 80m

Solving
-8m + 24m2 = 80m

Solving for variable 'm'.

Reorder the terms:
-8m + -80m + 24m2 = 80m + -80m

Combine like terms: -8m + -80m = -88m
-88m + 24m2 = 80m + -80m

Combine like terms: 80m + -80m = 0
-88m + 24m2 = 0

Factor out the Greatest Common Factor (GCF), '8m'.
8m(-11 + 3m) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0

Subproblem 2
Set the factor '(-11 + 3m)' equal to zero and attempt to solve:

Simplifying
-11 + 3m = 0

Solving
-11 + 3m = 0

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

Add '11' to each side of the equation.
-11 + 11 + 3m = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 3m = 0 + 11
3m = 0 + 11

Combine like terms: 0 + 11 = 11
3m = 11

Divide each side by '3'.
m = 3.666666667

Simplifying
m = 3.666666667
Solution
m = {0, 3.666666667}

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