(4a-2)(5a-4)=

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Solution for (4a-2)(5a-4)= equation: 


Simplifying
(4a + -2)(5a + -4) = 0

Reorder the terms:
(-2 + 4a)(5a + -4) = 0

Reorder the terms:
(-2 + 4a)(-4 + 5a) = 0

Multiply (-2 + 4a) * (-4 + 5a)
(-2(-4 + 5a) + 4a * (-4 + 5a)) = 0
((-4 * -2 + 5a * -2) + 4a * (-4 + 5a)) = 0
((8 + -10a) + 4a * (-4 + 5a)) = 0
(8 + -10a + (-4 * 4a + 5a * 4a)) = 0
(8 + -10a + (-16a + 20a2)) = 0

Combine like terms: -10a + -16a = -26a
(8 + -26a + 20a2) = 0

Solving
8 + -26a + 20a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13a + 10a2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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 = {0.5, 0.8}

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