(5a+1)(2a+7)=

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Solution for (5a+1)(2a+7)= equation: 


Simplifying
(5a + 1)(2a + 7) = 0

Reorder the terms:
(1 + 5a)(2a + 7) = 0

Reorder the terms:
(1 + 5a)(7 + 2a) = 0

Multiply (1 + 5a) * (7 + 2a)
(1(7 + 2a) + 5a * (7 + 2a)) = 0
((7 * 1 + 2a * 1) + 5a * (7 + 2a)) = 0
((7 + 2a) + 5a * (7 + 2a)) = 0
(7 + 2a + (7 * 5a + 2a * 5a)) = 0
(7 + 2a + (35a + 10a2)) = 0

Combine like terms: 2a + 35a = 37a
(7 + 37a + 10a2) = 0

Solving
7 + 37a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7 + 2a)(1 + 5a) = 0


Subproblem 1
Set the factor '(7 + 2a)' equal to zero and attempt to solve:

Simplifying
7 + 2a = 0

Solving
7 + 2a = 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 + 2a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2a = 0 + -7
2a = 0 + -7

Combine like terms: 0 + -7 = -7
2a = -7

Divide each side by '2'.
a = -3.5

Simplifying
a = -3.5

Subproblem 2
Set the factor '(1 + 5a)' equal to zero and attempt to solve:

Simplifying
1 + 5a = 0

Solving
1 + 5a = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5a = 0 + -1
5a = 0 + -1

Combine like terms: 0 + -1 = -1
5a = -1

Divide each side by '5'.
a = -0.2

Simplifying
a = -0.2
Solution
a = {-3.5, -0.2}

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