(m+1)(m+1)-(m-2)(m-2)=3

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Solution for (m+1)(m+1)-(m-2)(m-2)=3 equation: 


Simplifying
(m + 1)(m + 1) + -1(m + -2)(m + -2) = 3

Reorder the terms:
(1 + m)(m + 1) + -1(m + -2)(m + -2) = 3

Reorder the terms:
(1 + m)(1 + m) + -1(m + -2)(m + -2) = 3

Multiply (1 + m) * (1 + m)
(1(1 + m) + m(1 + m)) + -1(m + -2)(m + -2) = 3
((1 * 1 + m * 1) + m(1 + m)) + -1(m + -2)(m + -2) = 3
((1 + 1m) + m(1 + m)) + -1(m + -2)(m + -2) = 3
(1 + 1m + (1 * m + m * m)) + -1(m + -2)(m + -2) = 3
(1 + 1m + (1m + m2)) + -1(m + -2)(m + -2) = 3

Combine like terms: 1m + 1m = 2m
(1 + 2m + m2) + -1(m + -2)(m + -2) = 3

Reorder the terms:
1 + 2m + m2 + -1(-2 + m)(m + -2) = 3

Reorder the terms:
1 + 2m + m2 + -1(-2 + m)(-2 + m) = 3

Multiply (-2 + m) * (-2 + m)
1 + 2m + m2 + -1(-2(-2 + m) + m(-2 + m)) = 3
1 + 2m + m2 + -1((-2 * -2 + m * -2) + m(-2 + m)) = 3
1 + 2m + m2 + -1((4 + -2m) + m(-2 + m)) = 3
1 + 2m + m2 + -1(4 + -2m + (-2 * m + m * m)) = 3
1 + 2m + m2 + -1(4 + -2m + (-2m + m2)) = 3

Combine like terms: -2m + -2m = -4m
1 + 2m + m2 + -1(4 + -4m + m2) = 3
1 + 2m + m2 + (4 * -1 + -4m * -1 + m2 * -1) = 3
1 + 2m + m2 + (-4 + 4m + -1m2) = 3

Reorder the terms:
1 + -4 + 2m + 4m + m2 + -1m2 = 3

Combine like terms: 1 + -4 = -3
-3 + 2m + 4m + m2 + -1m2 = 3

Combine like terms: 2m + 4m = 6m
-3 + 6m + m2 + -1m2 = 3

Combine like terms: m2 + -1m2 = 0
-3 + 6m + 0 = 3
-3 + 6m = 3

Solving
-3 + 6m = 3

Solving for variable 'm'.

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

Add '3' to each side of the equation.
-3 + 3 + 6m = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 6m = 3 + 3
6m = 3 + 3

Combine like terms: 3 + 3 = 6
6m = 6

Divide each side by '6'.
m = 1

Simplifying
m = 1

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