(a^2b-7)(a^2b-4)=

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Solution for (a^2b-7)(a^2b-4)= equation: 


Simplifying
(a2b + -7)(a2b + -4) = 0

Reorder the terms:
(-7 + a2b)(a2b + -4) = 0

Reorder the terms:
(-7 + a2b)(-4 + a2b) = 0

Multiply (-7 + a2b) * (-4 + a2b)
(-7(-4 + a2b) + a2b(-4 + a2b)) = 0
((-4 * -7 + a2b * -7) + a2b(-4 + a2b)) = 0
((28 + -7a2b) + a2b(-4 + a2b)) = 0
(28 + -7a2b + (-4 * a2b + a2b * a2b)) = 0
(28 + -7a2b + (-4a2b + a4b2)) = 0

Combine like terms: -7a2b + -4a2b = -11a2b
(28 + -11a2b + a4b2) = 0

Solving
28 + -11a2b + a4b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4 + -1a2b)(7 + -1a2b) = 0


Subproblem 1
Set the factor '(4 + -1a2b)' equal to zero and attempt to solve:

Simplifying
4 + -1a2b = 0

Solving
4 + -1a2b = 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 + -1a2b = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a2b = 0 + -4
-1a2b = 0 + -4

Combine like terms: 0 + -4 = -4
-1a2b = -4

Divide each side by '-1b'.
a2 = 4b-1

Simplifying
a2 = 4b-1

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 '(7 + -1a2b)' equal to zero and attempt to solve:

Simplifying
7 + -1a2b = 0

Solving
7 + -1a2b = 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 + -1a2b = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a2b = 0 + -7
-1a2b = 0 + -7

Combine like terms: 0 + -7 = -7
-1a2b = -7

Divide each side by '-1b'.
a2 = 7b-1

Simplifying
a2 = 7b-1

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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