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

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


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

Remove parenthesis around (-4b)
-4b(-5 + -2a) + (2b + -5)(2a) = 0
(-5 * -4b + -2a * -4b) + (2b + -5)(2a) = 0

Reorder the terms:
(8ab + 20b) + (2b + -5)(2a) = 0
(8ab + 20b) + (2b + -5)(2a) = 0

Reorder the terms:
8ab + 20b + (-5 + 2b)(2a) = 0

Remove parenthesis around (2a)
8ab + 20b + (-5 + 2b) * 2a = 0

Reorder the terms for easier multiplication:
8ab + 20b + 2a(-5 + 2b) = 0
8ab + 20b + (-5 * 2a + 2b * 2a) = 0
8ab + 20b + (-10a + 4ab) = 0

Reorder the terms:
-10a + 8ab + 4ab + 20b = 0

Combine like terms: 8ab + 4ab = 12ab
-10a + 12ab + 20b = 0

Solving
-10a + 12ab + 20b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-20b' to each side of the equation.
-10a + 12ab + 20b + -20b = 0 + -20b

Combine like terms: 20b + -20b = 0
-10a + 12ab + 0 = 0 + -20b
-10a + 12ab = 0 + -20b
Remove the zero:
-10a + 12ab = -20b

Combine like terms: -20b + 20b = 0
-10a + 12ab + 20b = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5a + 6ab + 10b) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5a + 6ab + 10b)' equal to zero and attempt to solve: Simplifying -5a + 6ab + 10b = 0 Solving -5a + 6ab + 10b = 0 Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. -5a + 6ab + 10b + -10b = 0 + -10b Combine like terms: 10b + -10b = 0 -5a + 6ab + 0 = 0 + -10b -5a + 6ab = 0 + -10b Remove the zero: -5a + 6ab = -10b 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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