10a^2+4a=-12a

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Solution for 10a^2+4a=-12a equation:


Simplifying
10a2 + 4a = -12a

Reorder the terms:
4a + 10a2 = -12a

Solving
4a + 10a2 = -12a

Solving for variable 'a'.

Reorder the terms:
4a + 12a + 10a2 = -12a + 12a

Combine like terms: 4a + 12a = 16a
16a + 10a2 = -12a + 12a

Combine like terms: -12a + 12a = 0
16a + 10a2 = 0

Factor out the Greatest Common Factor (GCF), '2a'.
2a(8 + 5a) = 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 '(8 + 5a)' equal to zero and attempt to solve: Simplifying 8 + 5a = 0 Solving 8 + 5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5a = 0 + -8 5a = 0 + -8 Combine like terms: 0 + -8 = -8 5a = -8 Divide each side by '5'. a = -1.6 Simplifying a = -1.6

Solution

a = {0, -1.6}

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