9a=-a^2

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Solution for 9a=-a^2 equation:


Simplifying
9a = -1a2

Solving
9a = -1a2

Solving for variable 'a'.

Combine like terms: -1a2 + a2 = 0
9a + a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(9 + a) = 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 '(9 + a)' equal to zero and attempt to solve: Simplifying 9 + a = 0 Solving 9 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + a = 0 + -9 a = 0 + -9 Combine like terms: 0 + -9 = -9 a = -9 Simplifying a = -9

Solution

a = {0, -9}

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