a(11a+3)=8

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Solution for a(11a+3)=8 equation:


Simplifying
a(11a + 3) = 8

Reorder the terms:
a(3 + 11a) = 8
(3 * a + 11a * a) = 8
(3a + 11a2) = 8

Solving
3a + 11a2 = 8

Solving for variable 'a'.

Reorder the terms:
-8 + 3a + 11a2 = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + 3a + 11a2 = 0

Factor a trinomial.
(-1 + -1a)(8 + -11a) = 0

Subproblem 1

Set the factor '(-1 + -1a)' equal to zero and attempt to solve: Simplifying -1 + -1a = 0 Solving -1 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1a = 0 + 1 -1a = 0 + 1 Combine like terms: 0 + 1 = 1 -1a = 1 Divide each side by '-1'. a = -1 Simplifying a = -1

Subproblem 2

Set the factor '(8 + -11a)' equal to zero and attempt to solve: Simplifying 8 + -11a = 0 Solving 8 + -11a = 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 + -11a = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -11a = 0 + -8 -11a = 0 + -8 Combine like terms: 0 + -8 = -8 -11a = -8 Divide each side by '-11'. a = 0.7272727273 Simplifying a = 0.7272727273

Solution

a = {-1, 0.7272727273}

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