(M-2)(M-3)=(M+4)(M+8)

Solution for (M-2)(M-3)=(M+4)(M+8) equation:

Simplifying
(M + -2)(M + -3) = (M + 4)(M + 8)

Reorder the terms:
(-2 + M)(M + -3) = (M + 4)(M + 8)

Reorder the terms:
(-2 + M)(-3 + M) = (M + 4)(M + 8)

Multiply (-2 + M) * (-3 + M)
(-2(-3 + M) + M(-3 + M)) = (M + 4)(M + 8)
((-3 * -2 + M * -2) + M(-3 + M)) = (M + 4)(M + 8)
((6 + -2M) + M(-3 + M)) = (M + 4)(M + 8)
(6 + -2M + (-3 * M + M * M)) = (M + 4)(M + 8)
(6 + -2M + (-3M + M2)) = (M + 4)(M + 8)

Combine like terms: -2M + -3M = -5M
(6 + -5M + M2) = (M + 4)(M + 8)

Reorder the terms:
6 + -5M + M2 = (4 + M)(M + 8)

Reorder the terms:
6 + -5M + M2 = (4 + M)(8 + M)

Multiply (4 + M) * (8 + M)
6 + -5M + M2 = (4(8 + M) + M(8 + M))
6 + -5M + M2 = ((8 * 4 + M * 4) + M(8 + M))
6 + -5M + M2 = ((32 + 4M) + M(8 + M))
6 + -5M + M2 = (32 + 4M + (8 * M + M * M))
6 + -5M + M2 = (32 + 4M + (8M + M2))

Combine like terms: 4M + 8M = 12M
6 + -5M + M2 = (32 + 12M + M2)

Add '-1M2' to each side of the equation.
6 + -5M + M2 + -1M2 = 32 + 12M + M2 + -1M2

Combine like terms: M2 + -1M2 = 0
6 + -5M + 0 = 32 + 12M + M2 + -1M2
6 + -5M = 32 + 12M + M2 + -1M2

Combine like terms: M2 + -1M2 = 0
6 + -5M = 32 + 12M + 0
6 + -5M = 32 + 12M

Solving
6 + -5M = 32 + 12M

Solving for variable 'M'.

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

Add '-12M' to each side of the equation.
6 + -5M + -12M = 32 + 12M + -12M

Combine like terms: -5M + -12M = -17M
6 + -17M = 32 + 12M + -12M

Combine like terms: 12M + -12M = 0
6 + -17M = 32 + 0
6 + -17M = 32

Add '-6' to each side of the equation.
6 + -6 + -17M = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -17M = 32 + -6
-17M = 32 + -6

Combine like terms: 32 + -6 = 26
-17M = 26

Divide each side by '-17'.
M = -1.529411765

Simplifying
M = -1.529411765