2(4a+5)2+9(4a+5)+4=0

Solution for 2(4a+5)2+9(4a+5)+4=0 equation:

Simplifying
2(4a + 5) * 2 + 9(4a + 5) + 4 = 0

Reorder the terms:
2(5 + 4a) * 2 + 9(4a + 5) + 4 = 0

Reorder the terms for easier multiplication:
2 * 2(5 + 4a) + 9(4a + 5) + 4 = 0

Multiply 2 * 2
4(5 + 4a) + 9(4a + 5) + 4 = 0
(5 * 4 + 4a * 4) + 9(4a + 5) + 4 = 0
(20 + 16a) + 9(4a + 5) + 4 = 0

Reorder the terms:
20 + 16a + 9(5 + 4a) + 4 = 0
20 + 16a + (5 * 9 + 4a * 9) + 4 = 0
20 + 16a + (45 + 36a) + 4 = 0

Reorder the terms:
20 + 45 + 4 + 16a + 36a = 0

Combine like terms: 20 + 45 = 65
65 + 4 + 16a + 36a = 0

Combine like terms: 65 + 4 = 69
69 + 16a + 36a = 0

Combine like terms: 16a + 36a = 52a
69 + 52a = 0

Solving
69 + 52a = 0

Solving for variable 'a'.

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

Add '-69' to each side of the equation.
69 + -69 + 52a = 0 + -69

Combine like terms: 69 + -69 = 0
0 + 52a = 0 + -69
52a = 0 + -69

Combine like terms: 0 + -69 = -69
52a = -69

Divide each side by '52'.
a = -1.326923077

Simplifying
a = -1.326923077