7m(2m-3n-5)=

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Solution for 7m(2m-3n-5)= equation:


Simplifying
7m(2m + -3n + -5) = 0

Reorder the terms:
7m(-5 + 2m + -3n) = 0
(-5 * 7m + 2m * 7m + -3n * 7m) = 0

Reorder the terms:
(-35m + -21mn + 14m2) = 0
(-35m + -21mn + 14m2) = 0

Solving
-35m + -21mn + 14m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7m'.
7m(-5 + -3n + 2m) = 0

Ignore the factor 7.

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 '(-5 + -3n + 2m)' equal to zero and attempt to solve: Simplifying -5 + -3n + 2m = 0 Reorder the terms: -5 + 2m + -3n = 0 Solving -5 + 2m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 2m + 5 + -3n = 0 + 5 Reorder the terms: -5 + 5 + 2m + -3n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2m + -3n = 0 + 5 2m + -3n = 0 + 5 Combine like terms: 0 + 5 = 5 2m + -3n = 5 Add '3n' to each side of the equation. 2m + -3n + 3n = 5 + 3n Combine like terms: -3n + 3n = 0 2m + 0 = 5 + 3n 2m = 5 + 3n Divide each side by '2'. m = 2.5 + 1.5n Simplifying m = 2.5 + 1.5n

Solution

m = {0, 2.5 + 1.5n}

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