20a^2+a=12

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Solution for 20a^2+a=12 equation:


Simplifying
20a2 + a = 12

Reorder the terms:
a + 20a2 = 12

Solving
a + 20a2 = 12

Solving for variable 'a'.

Reorder the terms:
-12 + a + 20a2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + a + 20a2 = 0

Factor a trinomial.
(-4 + -5a)(3 + -4a) = 0

Subproblem 1

Set the factor '(-4 + -5a)' equal to zero and attempt to solve: Simplifying -4 + -5a = 0 Solving -4 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5a = 0 + 4 -5a = 0 + 4 Combine like terms: 0 + 4 = 4 -5a = 4 Divide each side by '-5'. a = -0.8 Simplifying a = -0.8

Subproblem 2

Set the factor '(3 + -4a)' equal to zero and attempt to solve: Simplifying 3 + -4a = 0 Solving 3 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4a = 0 + -3 -4a = 0 + -3 Combine like terms: 0 + -3 = -3 -4a = -3 Divide each side by '-4'. a = 0.75 Simplifying a = 0.75

Solution

a = {-0.8, 0.75}

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