16a^2-20a=4a

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Solution for 16a^2-20a=4a equation:


Simplifying
16a2 + -20a = 4a

Reorder the terms:
-20a + 16a2 = 4a

Solving
-20a + 16a2 = 4a

Solving for variable 'a'.

Reorder the terms:
-20a + -4a + 16a2 = 4a + -4a

Combine like terms: -20a + -4a = -24a
-24a + 16a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
-24a + 16a2 = 0

Factor out the Greatest Common Factor (GCF), '8a'.
8a(-3 + 2a) = 0

Ignore the factor 8.

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 '(-3 + 2a)' equal to zero and attempt to solve: Simplifying -3 + 2a = 0 Solving -3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a = 0 + 3 2a = 0 + 3 Combine like terms: 0 + 3 = 3 2a = 3 Divide each side by '2'. a = 1.5 Simplifying a = 1.5

Solution

a = {0, 1.5}

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