(5a+4)(3a+7)=

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Solution for (5a+4)(3a+7)= equation: 


Simplifying
(5a + 4)(3a + 7) = 0

Reorder the terms:
(4 + 5a)(3a + 7) = 0

Reorder the terms:
(4 + 5a)(7 + 3a) = 0

Multiply (4 + 5a) * (7 + 3a)
(4(7 + 3a) + 5a * (7 + 3a)) = 0
((7 * 4 + 3a * 4) + 5a * (7 + 3a)) = 0
((28 + 12a) + 5a * (7 + 3a)) = 0
(28 + 12a + (7 * 5a + 3a * 5a)) = 0
(28 + 12a + (35a + 15a2)) = 0

Combine like terms: 12a + 35a = 47a
(28 + 47a + 15a2) = 0

Solving
28 + 47a + 15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 3a)(4 + 5a) = 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 '(4 + 5a)' equal to zero and attempt to solve:

Simplifying
4 + 5a = 0

Solving
4 + 5a = 0

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

Add '-4' to each side of the equation.
4 + -4 + 5a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 5a = 0 + -4
5a = 0 + -4

Combine like terms: 0 + -4 = -4
5a = -4

Divide each side by '5'.
a = -0.8

Simplifying
a = -0.8
Solution
a = {-2.333333333, -0.8}

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