4(4m+5)2+8(4m+5)-5=0

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Solution for 4(4m+5)2+8(4m+5)-5=0 equation: 


Simplifying
4(4m + 5) * 2 + 8(4m + 5) + -5 = 0

Reorder the terms:
4(5 + 4m) * 2 + 8(4m + 5) + -5 = 0

Reorder the terms for easier multiplication:
4 * 2(5 + 4m) + 8(4m + 5) + -5 = 0

Multiply 4 * 2
8(5 + 4m) + 8(4m + 5) + -5 = 0
(5 * 8 + 4m * 8) + 8(4m + 5) + -5 = 0
(40 + 32m) + 8(4m + 5) + -5 = 0

Reorder the terms:
40 + 32m + 8(5 + 4m) + -5 = 0
40 + 32m + (5 * 8 + 4m * 8) + -5 = 0
40 + 32m + (40 + 32m) + -5 = 0

Reorder the terms:
40 + 40 + -5 + 32m + 32m = 0

Combine like terms: 40 + 40 = 80
80 + -5 + 32m + 32m = 0

Combine like terms: 80 + -5 = 75
75 + 32m + 32m = 0

Combine like terms: 32m + 32m = 64m
75 + 64m = 0

Solving
75 + 64m = 0

Solving for variable 'm'.

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

Add '-75' to each side of the equation.
75 + -75 + 64m = 0 + -75

Combine like terms: 75 + -75 = 0
0 + 64m = 0 + -75
64m = 0 + -75

Combine like terms: 0 + -75 = -75
64m = -75

Divide each side by '64'.
m = -1.171875

Simplifying
m = -1.171875

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