2a^2-28a=0

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Solution for 2a^2-28a=0 equation:


Simplifying
2a2 + -28a = 0

Reorder the terms:
-28a + 2a2 = 0

Solving
-28a + 2a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2a'.
2a(-14 + a) = 0

Ignore the factor 2.

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 '(-14 + a)' equal to zero and attempt to solve: Simplifying -14 + a = 0 Solving -14 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + a = 0 + 14 a = 0 + 14 Combine like terms: 0 + 14 = 14 a = 14 Simplifying a = 14

Solution

a = {0, 14}

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