(2a-14)(a+28)=

Solution for (2a-14)(a+28)= equation:

Simplifying
(2a + -14)(a + 28) = 0

Reorder the terms:
(-14 + 2a)(a + 28) = 0

Reorder the terms:
(-14 + 2a)(28 + a) = 0

Multiply (-14 + 2a) * (28 + a)
(-14(28 + a) + 2a * (28 + a)) = 0
((28 * -14 + a * -14) + 2a * (28 + a)) = 0
((-392 + -14a) + 2a * (28 + a)) = 0
(-392 + -14a + (28 * 2a + a * 2a)) = 0
(-392 + -14a + (56a + 2a2)) = 0

Combine like terms: -14a + 56a = 42a
(-392 + 42a + 2a2) = 0

Solving
-392 + 42a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-196 + 21a + a2) = 0

Factor a trinomial.
2((-28 + -1a)(7 + -1a)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-28 + -1a)' equal to zero and attempt to solve:

Simplifying
-28 + -1a = 0

Solving
-28 + -1a = 0

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

Add '28' to each side of the equation.
-28 + 28 + -1a = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -1a = 0 + 28
-1a = 0 + 28

Combine like terms: 0 + 28 = 28
-1a = 28

Divide each side by '-1'.
a = -28

Simplifying
a = -28
Subproblem 2
Set the factor '(7 + -1a)' equal to zero and attempt to solve:

Simplifying
7 + -1a = 0

Solving
7 + -1a = 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 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7
Solution
a = {-28, 7}