(5a^3-2)(5a^3-4)=

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Solution for (5a^3-2)(5a^3-4)= equation: 


Simplifying
(5a3 + -2)(5a3 + -4) = 0

Reorder the terms:
(-2 + 5a3)(5a3 + -4) = 0

Reorder the terms:
(-2 + 5a3)(-4 + 5a3) = 0

Multiply (-2 + 5a3) * (-4 + 5a3)
(-2(-4 + 5a3) + 5a3 * (-4 + 5a3)) = 0
((-4 * -2 + 5a3 * -2) + 5a3 * (-4 + 5a3)) = 0
((8 + -10a3) + 5a3 * (-4 + 5a3)) = 0
(8 + -10a3 + (-4 * 5a3 + 5a3 * 5a3)) = 0
(8 + -10a3 + (-20a3 + 25a6)) = 0

Combine like terms: -10a3 + -20a3 = -30a3
(8 + -30a3 + 25a6) = 0

Solving
8 + -30a3 + 25a6 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -5a3)(4 + -5a3) = 0


Subproblem 1
Set the factor '(2 + -5a3)' equal to zero and attempt to solve:

Simplifying
2 + -5a3 = 0

Solving
2 + -5a3 = 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 + -5a3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5a3 = 0 + -2
-5a3 = 0 + -2

Combine like terms: 0 + -2 = -2
-5a3 = -2

Divide each side by '-5'.
a3 = 0.4

Simplifying
a3 = 0.4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(4 + -5a3)' equal to zero and attempt to solve:

Simplifying
4 + -5a3 = 0

Solving
4 + -5a3 = 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 + -5a3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5a3 = 0 + -4
-5a3 = 0 + -4

Combine like terms: 0 + -4 = -4
-5a3 = -4

Divide each side by '-5'.
a3 = 0.8

Simplifying
a3 = 0.8

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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