(8a+7)(3a+7)=

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Solution for (8a+7)(3a+7)= equation: 


Simplifying
(8a + 7)(3a + 7) = 0

Reorder the terms:
(7 + 8a)(3a + 7) = 0

Reorder the terms:
(7 + 8a)(7 + 3a) = 0

Multiply (7 + 8a) * (7 + 3a)
(7(7 + 3a) + 8a * (7 + 3a)) = 0
((7 * 7 + 3a * 7) + 8a * (7 + 3a)) = 0
((49 + 21a) + 8a * (7 + 3a)) = 0
(49 + 21a + (7 * 8a + 3a * 8a)) = 0
(49 + 21a + (56a + 24a2)) = 0

Combine like terms: 21a + 56a = 77a
(49 + 77a + 24a2) = 0

Solving
49 + 77a + 24a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 3a)(7 + 8a) = 0


Subproblem 1
Set the factor '(7 + 3a)' equal to zero and attempt to solve:

Simplifying
7 + 3a = 0

Solving
7 + 3a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 3a = 0 + -7
3a = 0 + -7

Combine like terms: 0 + -7 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333

Subproblem 2
Set the factor '(7 + 8a)' equal to zero and attempt to solve:

Simplifying
7 + 8a = 0

Solving
7 + 8a = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8a = 0 + -7
8a = 0 + -7

Combine like terms: 0 + -7 = -7
8a = -7

Divide each side by '8'.
a = -0.875

Simplifying
a = -0.875
Solution
a = {-2.333333333, -0.875}

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