(2a-1)(7a+3)=

Solution for (2a-1)(7a+3)= equation:

Simplifying
(2a + -1)(7a + 3) = 0

Reorder the terms:
(-1 + 2a)(7a + 3) = 0

Reorder the terms:
(-1 + 2a)(3 + 7a) = 0

Multiply (-1 + 2a) * (3 + 7a)
(-1(3 + 7a) + 2a * (3 + 7a)) = 0
((3 * -1 + 7a * -1) + 2a * (3 + 7a)) = 0
((-3 + -7a) + 2a * (3 + 7a)) = 0
(-3 + -7a + (3 * 2a + 7a * 2a)) = 0
(-3 + -7a + (6a + 14a2)) = 0

Combine like terms: -7a + 6a = -1a
(-3 + -1a + 14a2) = 0

Solving
-3 + -1a + 14a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -7a)(1 + -2a) = 0

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

Simplifying
-3 + -7a = 0

Solving
-3 + -7a = 0

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

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

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

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

Divide each side by '-7'.
a = -0.4285714286

Simplifying
a = -0.4285714286
Subproblem 2
Set the factor '(1 + -2a)' equal to zero and attempt to solve:

Simplifying
1 + -2a = 0

Solving
1 + -2a = 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 + -2a = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2a = 0 + -1
-2a = 0 + -1

Combine like terms: 0 + -1 = -1
-2a = -1

Divide each side by '-2'.
a = 0.5

Simplifying
a = 0.5
Solution
a = {-0.4285714286, 0.5}