5m(m-2a-1)-5m^2(5m+3)=10

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Solution for 5m(m-2a-1)-5m^2(5m+3)=10 equation:


Simplifying
5m(m + -2a + -1) + -5m2(5m + 3) = 10

Reorder the terms:
5m(-1 + -2a + m) + -5m2(5m + 3) = 10
(-1 * 5m + -2a * 5m + m * 5m) + -5m2(5m + 3) = 10

Reorder the terms:
(-10am + -5m + 5m2) + -5m2(5m + 3) = 10
(-10am + -5m + 5m2) + -5m2(5m + 3) = 10

Reorder the terms:
-10am + -5m + 5m2 + -5m2(3 + 5m) = 10
-10am + -5m + 5m2 + (3 * -5m2 + 5m * -5m2) = 10
-10am + -5m + 5m2 + (-15m2 + -25m3) = 10

Combine like terms: 5m2 + -15m2 = -10m2
-10am + -5m + -10m2 + -25m3 = 10

Solving
-10am + -5m + -10m2 + -25m3 = 10

Solving for variable 'a'.

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

Add '5m' to each side of the equation.
-10am + -5m + -10m2 + 5m + -25m3 = 10 + 5m

Reorder the terms:
-10am + -5m + 5m + -10m2 + -25m3 = 10 + 5m

Combine like terms: -5m + 5m = 0
-10am + 0 + -10m2 + -25m3 = 10 + 5m
-10am + -10m2 + -25m3 = 10 + 5m

Add '10m2' to each side of the equation.
-10am + -10m2 + 10m2 + -25m3 = 10 + 5m + 10m2

Combine like terms: -10m2 + 10m2 = 0
-10am + 0 + -25m3 = 10 + 5m + 10m2
-10am + -25m3 = 10 + 5m + 10m2

Add '25m3' to each side of the equation.
-10am + -25m3 + 25m3 = 10 + 5m + 10m2 + 25m3

Combine like terms: -25m3 + 25m3 = 0
-10am + 0 = 10 + 5m + 10m2 + 25m3
-10am = 10 + 5m + 10m2 + 25m3

Divide each side by '-10m'.
a = -1m-1 + -0.5 + -1m + -2.5m2

Simplifying
a = -1m-1 + -0.5 + -1m + -2.5m2

Reorder the terms:
a = -0.5 + -1m-1 + -1m + -2.5m2

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