3a^2=-5a

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Solution for 3a^2=-5a equation:


Simplifying
3a2 = -5a

Solving
3a2 = -5a

Solving for variable 'a'.

Reorder the terms:
5a + 3a2 = -5a + 5a

Combine like terms: -5a + 5a = 0
5a + 3a2 = 0

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

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 '(5 + 3a)' equal to zero and attempt to solve: Simplifying 5 + 3a = 0 Solving 5 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 0 + -5 3a = 0 + -5 Combine like terms: 0 + -5 = -5 3a = -5 Divide each side by '3'. a = -1.666666667 Simplifying a = -1.666666667

Solution

a = {0, -1.666666667}

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