3a^2+2a=85

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Solution for 3a^2+2a=85 equation:


Simplifying
3a2 + 2a = 85

Reorder the terms:
2a + 3a2 = 85

Solving
2a + 3a2 = 85

Solving for variable 'a'.

Reorder the terms:
-85 + 2a + 3a2 = 85 + -85

Combine like terms: 85 + -85 = 0
-85 + 2a + 3a2 = 0

Factor a trinomial.
(-17 + -3a)(5 + -1a) = 0

Subproblem 1

Set the factor '(-17 + -3a)' equal to zero and attempt to solve: Simplifying -17 + -3a = 0 Solving -17 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -3a = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -3a = 0 + 17 -3a = 0 + 17 Combine like terms: 0 + 17 = 17 -3a = 17 Divide each side by '-3'. a = -5.666666667 Simplifying a = -5.666666667

Subproblem 2

Set the factor '(5 + -1a)' equal to zero and attempt to solve: Simplifying 5 + -1a = 0 Solving 5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = 0 + -5 -1a = 0 + -5 Combine like terms: 0 + -5 = -5 -1a = -5 Divide each side by '-1'. a = 5 Simplifying a = 5

Solution

a = {-5.666666667, 5}

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