5a(4+2b-a)=

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


Simplifying
5a(4 + 2b + -1a) = 0

Reorder the terms:
5a(4 + -1a + 2b) = 0
(4 * 5a + -1a * 5a + 2b * 5a) = 0

Reorder the terms:
(20a + 10ab + -5a2) = 0
(20a + 10ab + -5a2) = 0

Solving
20a + 10ab + -5a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(4 + 2b + -1a) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(4 + 2b + -1a)' equal to zero and attempt to solve: Simplifying 4 + 2b + -1a = 0 Reorder the terms: 4 + -1a + 2b = 0 Solving 4 + -1a + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1a + -4 + 2b = 0 + -4 Reorder the terms: 4 + -4 + -1a + 2b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a + 2b = 0 + -4 -1a + 2b = 0 + -4 Combine like terms: 0 + -4 = -4 -1a + 2b = -4 Add '-2b' to each side of the equation. -1a + 2b + -2b = -4 + -2b Combine like terms: 2b + -2b = 0 -1a + 0 = -4 + -2b -1a = -4 + -2b Divide each side by '-1'. a = 4 + 2b Simplifying a = 4 + 2b

Solution

a = {0, 4 + 2b}

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