(a+3)(a+3)=2(3a+17)

Solution for (a+3)(a+3)=2(3a+17) equation:

Simplifying
(a + 3)(a + 3) = 2(3a + 17)

Reorder the terms:
(3 + a)(a + 3) = 2(3a + 17)

Reorder the terms:
(3 + a)(3 + a) = 2(3a + 17)

Multiply (3 + a) * (3 + a)
(3(3 + a) + a(3 + a)) = 2(3a + 17)
((3 * 3 + a * 3) + a(3 + a)) = 2(3a + 17)
((9 + 3a) + a(3 + a)) = 2(3a + 17)
(9 + 3a + (3 * a + a * a)) = 2(3a + 17)
(9 + 3a + (3a + a2)) = 2(3a + 17)

Combine like terms: 3a + 3a = 6a
(9 + 6a + a2) = 2(3a + 17)

Reorder the terms:
9 + 6a + a2 = 2(17 + 3a)
9 + 6a + a2 = (17 * 2 + 3a * 2)
9 + 6a + a2 = (34 + 6a)

Add '-6a' to each side of the equation.
9 + 6a + -6a + a2 = 34 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + 0 + a2 = 34 + 6a + -6a
9 + a2 = 34 + 6a + -6a

Combine like terms: 6a + -6a = 0
9 + a2 = 34 + 0
9 + a2 = 34

Solving
9 + a2 = 34

Solving for variable 'a'.

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

Add '-9' to each side of the equation.
9 + -9 + a2 = 34 + -9

Combine like terms: 9 + -9 = 0
0 + a2 = 34 + -9
a2 = 34 + -9

Combine like terms: 34 + -9 = 25
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}