(10a+2)(2a-4)=

Solution for (10a+2)(2a-4)= equation:

Simplifying
(10a + 2)(2a + -4) = 0

Reorder the terms:
(2 + 10a)(2a + -4) = 0

Reorder the terms:
(2 + 10a)(-4 + 2a) = 0

Multiply (2 + 10a) * (-4 + 2a)
(2(-4 + 2a) + 10a * (-4 + 2a)) = 0
((-4 * 2 + 2a * 2) + 10a * (-4 + 2a)) = 0
((-8 + 4a) + 10a * (-4 + 2a)) = 0
(-8 + 4a + (-4 * 10a + 2a * 10a)) = 0
(-8 + 4a + (-40a + 20a2)) = 0

Combine like terms: 4a + -40a = -36a
(-8 + -36a + 20a2) = 0

Solving
-8 + -36a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -9a + 5a2) = 0

Factor a trinomial.
4((-1 + -5a)(2 + -1a)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(2 + -1a)' equal to zero and attempt to solve:

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Solution
a = {-0.2, 2}