4m+3(4n+5n+15)(5n+7n)(15)=13-m

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Solution for 4m+3(4n+5n+15)(5n+7n)(15)=13-m equation: 


Simplifying
4m + 3(4n + 5n + 15)(5n + 7n)(15) = 13 + -1m

Reorder the terms:
4m + 3(15 + 4n + 5n)(5n + 7n)(15) = 13 + -1m

Combine like terms: 4n + 5n = 9n
4m + 3(15 + 9n)(5n + 7n)(15) = 13 + -1m

Combine like terms: 5n + 7n = 12n
4m + 3(15 + 9n)(12n)(15) = 13 + -1m

Remove parenthesis around (12n)
4m + 3(15 + 9n) * 12n(15) = 13 + -1m

Reorder the terms for easier multiplication:
4m + 3 * 12 * 15n(15 + 9n) = 13 + -1m

Multiply 3 * 12
4m + 36 * 15n(15 + 9n) = 13 + -1m

Multiply 36 * 15
4m + 540n(15 + 9n) = 13 + -1m
4m + (15 * 540n + 9n * 540n) = 13 + -1m
4m + (8100n + 4860n2) = 13 + -1m

Solving
4m + 8100n + 4860n2 = 13 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
4m + 8100n + m + 4860n2 = 13 + -1m + m

Reorder the terms:
4m + m + 8100n + 4860n2 = 13 + -1m + m

Combine like terms: 4m + m = 5m
5m + 8100n + 4860n2 = 13 + -1m + m

Combine like terms: -1m + m = 0
5m + 8100n + 4860n2 = 13 + 0
5m + 8100n + 4860n2 = 13

Add '-8100n' to each side of the equation.
5m + 8100n + -8100n + 4860n2 = 13 + -8100n

Combine like terms: 8100n + -8100n = 0
5m + 0 + 4860n2 = 13 + -8100n
5m + 4860n2 = 13 + -8100n

Add '-4860n2' to each side of the equation.
5m + 4860n2 + -4860n2 = 13 + -8100n + -4860n2

Combine like terms: 4860n2 + -4860n2 = 0
5m + 0 = 13 + -8100n + -4860n2
5m = 13 + -8100n + -4860n2

Divide each side by '5'.
m = 2.6 + -1620n + -972n2

Simplifying
m = 2.6 + -1620n + -972n2

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