(a+6)(a-5)-(a-2)(a-3)=

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Solution for (a+6)(a-5)-(a-2)(a-3)= equation:


Simplifying
(a + 6)(a + -5) + -1(a + -2)(a + -3) = 0

Reorder the terms:
(6 + a)(a + -5) + -1(a + -2)(a + -3) = 0

Reorder the terms:
(6 + a)(-5 + a) + -1(a + -2)(a + -3) = 0

Multiply (6 + a) * (-5 + a)
(6(-5 + a) + a(-5 + a)) + -1(a + -2)(a + -3) = 0
((-5 * 6 + a * 6) + a(-5 + a)) + -1(a + -2)(a + -3) = 0
((-30 + 6a) + a(-5 + a)) + -1(a + -2)(a + -3) = 0
(-30 + 6a + (-5 * a + a * a)) + -1(a + -2)(a + -3) = 0
(-30 + 6a + (-5a + a2)) + -1(a + -2)(a + -3) = 0

Combine like terms: 6a + -5a = 1a
(-30 + 1a + a2) + -1(a + -2)(a + -3) = 0

Reorder the terms:
-30 + 1a + a2 + -1(-2 + a)(a + -3) = 0

Reorder the terms:
-30 + 1a + a2 + -1(-2 + a)(-3 + a) = 0

Multiply (-2 + a) * (-3 + a)
-30 + 1a + a2 + -1(-2(-3 + a) + a(-3 + a)) = 0
-30 + 1a + a2 + -1((-3 * -2 + a * -2) + a(-3 + a)) = 0
-30 + 1a + a2 + -1((6 + -2a) + a(-3 + a)) = 0
-30 + 1a + a2 + -1(6 + -2a + (-3 * a + a * a)) = 0
-30 + 1a + a2 + -1(6 + -2a + (-3a + a2)) = 0

Combine like terms: -2a + -3a = -5a
-30 + 1a + a2 + -1(6 + -5a + a2) = 0
-30 + 1a + a2 + (6 * -1 + -5a * -1 + a2 * -1) = 0
-30 + 1a + a2 + (-6 + 5a + -1a2) = 0

Reorder the terms:
-30 + -6 + 1a + 5a + a2 + -1a2 = 0

Combine like terms: -30 + -6 = -36
-36 + 1a + 5a + a2 + -1a2 = 0

Combine like terms: 1a + 5a = 6a
-36 + 6a + a2 + -1a2 = 0

Combine like terms: a2 + -1a2 = 0
-36 + 6a + 0 = 0
-36 + 6a = 0

Solving
-36 + 6a = 0

Solving for variable 'a'.

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

Add '36' to each side of the equation.
-36 + 36 + 6a = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 6a = 0 + 36
6a = 0 + 36

Combine like terms: 0 + 36 = 36
6a = 36

Divide each side by '6'.
a = 6

Simplifying
a = 6

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