(18a^2)+10a=-11a+4

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Solution for (18a^2)+10a=-11a+4 equation:


Simplifying
(18a2) + 10a = -11a + 4

Reorder the terms:
10a + (18a2) = -11a + 4

Reorder the terms:
10a + (18a2) = 4 + -11a

Solving
10a + (18a2) = 4 + -11a

Solving for variable 'a'.

Reorder the terms:
-4 + 10a + 11a + (18a2) = 4 + -11a + -4 + 11a

Combine like terms: 10a + 11a = 21a
-4 + 21a + (18a2) = 4 + -11a + -4 + 11a

Reorder the terms:
-4 + 21a + (18a2) = 4 + -4 + -11a + 11a

Combine like terms: 4 + -4 = 0
-4 + 21a + (18a2) = 0 + -11a + 11a
-4 + 21a + (18a2) = -11a + 11a

Combine like terms: -11a + 11a = 0
-4 + 21a + (18a2) = 0

Factor a trinomial.
(-4 + -3a)(1 + -6a) = 0

Subproblem 1

Set the factor '(-4 + -3a)' equal to zero and attempt to solve: Simplifying -4 + -3a = 0 Solving -4 + -3a = 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 + -3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = 0 + 4 -3a = 0 + 4 Combine like terms: 0 + 4 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333

Subproblem 2

Set the factor '(1 + -6a)' equal to zero and attempt to solve: Simplifying 1 + -6a = 0 Solving 1 + -6a = 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 + -6a = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 0 + -1 -6a = 0 + -1 Combine like terms: 0 + -1 = -1 -6a = -1 Divide each side by '-6'. a = 0.1666666667 Simplifying a = 0.1666666667

Solution

a = {-1.333333333, 0.1666666667}

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