(5a-2)(6a-4)=

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Solution for (5a-2)(6a-4)= equation: 


Simplifying
(5a + -2)(6a + -4) = 0

Reorder the terms:
(-2 + 5a)(6a + -4) = 0

Reorder the terms:
(-2 + 5a)(-4 + 6a) = 0

Multiply (-2 + 5a) * (-4 + 6a)
(-2(-4 + 6a) + 5a * (-4 + 6a)) = 0
((-4 * -2 + 6a * -2) + 5a * (-4 + 6a)) = 0
((8 + -12a) + 5a * (-4 + 6a)) = 0
(8 + -12a + (-4 * 5a + 6a * 5a)) = 0
(8 + -12a + (-20a + 30a2)) = 0

Combine like terms: -12a + -20a = -32a
(8 + -32a + 30a2) = 0

Solving
8 + -32a + 30a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -16a + 15a2) = 0

Factor a trinomial.
2((2 + -5a)(2 + -3a)) = 0

Ignore the factor 2.

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

Simplifying
2 + -5a = 0

Solving
2 + -5a = 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 + -5a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a = 0 + -2
-5a = 0 + -2

Combine like terms: 0 + -2 = -2
-5a = -2

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4

Subproblem 2
Set the factor '(2 + -3a)' equal to zero and attempt to solve:

Simplifying
2 + -3a = 0

Solving
2 + -3a = 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 + -3a = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3a = 0 + -2
-3a = 0 + -2

Combine like terms: 0 + -2 = -2
-3a = -2

Divide each side by '-3'.
a = 0.6666666667

Simplifying
a = 0.6666666667
Solution
a = {0.4, 0.6666666667}

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