(4a-5b)(3ab)=

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Solution for (4a-5b)(3ab)= equation:


Simplifying
(4a + -5b)(3ab) = 0

Remove parenthesis around (3ab)
(4a + -5b) * 3ab = 0

Reorder the terms for easier multiplication:
3ab(4a + -5b) = 0
(4a * 3ab + -5b * 3ab) = 0

Reorder the terms:
(-15ab2 + 12a2b) = 0
(-15ab2 + 12a2b) = 0

Solving
-15ab2 + 12a2b = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3ab'.
3ab(-5b + 4a) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 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 '(-5b + 4a)' equal to zero and attempt to solve: Simplifying -5b + 4a = 0 Reorder the terms: 4a + -5b = 0 Solving 4a + -5b = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 4a + -5b + 5b = 0 + 5b Combine like terms: -5b + 5b = 0 4a + 0 = 0 + 5b 4a = 0 + 5b Remove the zero: 4a = 5b Divide each side by '4'. a = 1.25b Simplifying a = 1.25b

Solution

a = {1.25b}

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