(a+5)(a-2)=(a+1)*(a+1)

Solution for (a+5)(a-2)=(a+1)*(a+1) equation:

Simplifying
(a + 5)(a + -2) = (a + 1)(a + 1)

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

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

Multiply (5 + a) * (-2 + a)
(5(-2 + a) + a(-2 + a)) = (a + 1)(a + 1)
((-2 * 5 + a * 5) + a(-2 + a)) = (a + 1)(a + 1)
((-10 + 5a) + a(-2 + a)) = (a + 1)(a + 1)
(-10 + 5a + (-2 * a + a * a)) = (a + 1)(a + 1)
(-10 + 5a + (-2a + a2)) = (a + 1)(a + 1)

Combine like terms: 5a + -2a = 3a
(-10 + 3a + a2) = (a + 1)(a + 1)

Reorder the terms:
-10 + 3a + a2 = (1 + a)(a + 1)

Reorder the terms:
-10 + 3a + a2 = (1 + a)(1 + a)

Multiply (1 + a) * (1 + a)
-10 + 3a + a2 = (1(1 + a) + a(1 + a))
-10 + 3a + a2 = ((1 * 1 + a * 1) + a(1 + a))
-10 + 3a + a2 = ((1 + 1a) + a(1 + a))
-10 + 3a + a2 = (1 + 1a + (1 * a + a * a))
-10 + 3a + a2 = (1 + 1a + (1a + a2))

Combine like terms: 1a + 1a = 2a
-10 + 3a + a2 = (1 + 2a + a2)

Add '-1a2' to each side of the equation.
-10 + 3a + a2 + -1a2 = 1 + 2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-10 + 3a + 0 = 1 + 2a + a2 + -1a2
-10 + 3a = 1 + 2a + a2 + -1a2

Combine like terms: a2 + -1a2 = 0
-10 + 3a = 1 + 2a + 0
-10 + 3a = 1 + 2a

Solving
-10 + 3a = 1 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-10 + 3a + -2a = 1 + 2a + -2a

Combine like terms: 3a + -2a = 1a
-10 + 1a = 1 + 2a + -2a

Combine like terms: 2a + -2a = 0
-10 + 1a = 1 + 0
-10 + 1a = 1

Add '10' to each side of the equation.
-10 + 10 + 1a = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 1a = 1 + 10
1a = 1 + 10

Combine like terms: 1 + 10 = 11
1a = 11

Divide each side by '1'.
a = 11

Simplifying
a = 11