(4a-3b)(2a+6b)=40

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Solution for (4a-3b)(2a+6b)=40 equation: 


Simplifying
(4a + -3b)(2a + 6b) = 40

Multiply (4a + -3b) * (2a + 6b)
(4a * (2a + 6b) + -3b * (2a + 6b)) = 40
((2a * 4a + 6b * 4a) + -3b * (2a + 6b)) = 40

Reorder the terms:
((24ab + 8a2) + -3b * (2a + 6b)) = 40
((24ab + 8a2) + -3b * (2a + 6b)) = 40
(24ab + 8a2 + (2a * -3b + 6b * -3b)) = 40
(24ab + 8a2 + (-6ab + -18b2)) = 40

Reorder the terms:
(24ab + -6ab + 8a2 + -18b2) = 40

Combine like terms: 24ab + -6ab = 18ab
(18ab + 8a2 + -18b2) = 40

Solving
18ab + 8a2 + -18b2 = 40

Solving for variable 'a'.

Reorder the terms:
-40 + 18ab + 8a2 + -18b2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + 18ab + 8a2 + -18b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 9ab + 4a2 + -9b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-20 + 9ab + 4a2 + -9b2)' equal to zero and attempt to solve:

Simplifying
-20 + 9ab + 4a2 + -9b2 = 0

Solving
-20 + 9ab + 4a2 + -9b2 = 0

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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