3m(m-3)*-6(m-5)=2m^2-4

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Solution for 3m(m-3)*-6(m-5)=2m^2-4 equation:


Simplifying
3m(m + -3) * -6(m + -5) = 2m2 + -4

Reorder the terms:
3m(-3 + m) * -6(m + -5) = 2m2 + -4

Reorder the terms:
3m(-3 + m) * -6(-5 + m) = 2m2 + -4

Reorder the terms for easier multiplication:
3 * -6m(-3 + m)(-5 + m) = 2m2 + -4

Multiply 3 * -6
-18m(-3 + m)(-5 + m) = 2m2 + -4

Multiply (-3 + m) * (-5 + m)
-18m(-3(-5 + m) + m(-5 + m)) = 2m2 + -4
-18m((-5 * -3 + m * -3) + m(-5 + m)) = 2m2 + -4
-18m((15 + -3m) + m(-5 + m)) = 2m2 + -4
-18m(15 + -3m + (-5 * m + m * m)) = 2m2 + -4
-18m(15 + -3m + (-5m + m2)) = 2m2 + -4

Combine like terms: -3m + -5m = -8m
-18m(15 + -8m + m2) = 2m2 + -4
(15 * -18m + -8m * -18m + m2 * -18m) = 2m2 + -4
(-270m + 144m2 + -18m3) = 2m2 + -4

Reorder the terms:
-270m + 144m2 + -18m3 = -4 + 2m2

Solving
-270m + 144m2 + -18m3 = -4 + 2m2

Solving for variable 'm'.

Reorder the terms:
4 + -270m + 144m2 + -2m2 + -18m3 = -4 + 2m2 + 4 + -2m2

Combine like terms: 144m2 + -2m2 = 142m2
4 + -270m + 142m2 + -18m3 = -4 + 2m2 + 4 + -2m2

Reorder the terms:
4 + -270m + 142m2 + -18m3 = -4 + 4 + 2m2 + -2m2

Combine like terms: -4 + 4 = 0
4 + -270m + 142m2 + -18m3 = 0 + 2m2 + -2m2
4 + -270m + 142m2 + -18m3 = 2m2 + -2m2

Combine like terms: 2m2 + -2m2 = 0
4 + -270m + 142m2 + -18m3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -135m + 71m2 + -9m3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -135m + 71m2 + -9m3)' equal to zero and attempt to solve: Simplifying 2 + -135m + 71m2 + -9m3 = 0 Solving 2 + -135m + 71m2 + -9m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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