4a^2=-28a

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Solution for 4a^2=-28a equation:


Simplifying
4a2 = -28a

Solving
4a2 = -28a

Solving for variable 'a'.

Reorder the terms:
28a + 4a2 = -28a + 28a

Combine like terms: -28a + 28a = 0
28a + 4a2 = 0

Factor out the Greatest Common Factor (GCF), '4a'.
4a(7 + a) = 0

Ignore the factor 4.

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 '(7 + a)' equal to zero and attempt to solve: Simplifying 7 + a = 0 Solving 7 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + a = 0 + -7 a = 0 + -7 Combine like terms: 0 + -7 = -7 a = -7 Simplifying a = -7

Solution

a = {0, -7}

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