6a^2+11a=35

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Solution for 6a^2+11a=35 equation:


Simplifying
6a2 + 11a = 35

Reorder the terms:
11a + 6a2 = 35

Solving
11a + 6a2 = 35

Solving for variable 'a'.

Reorder the terms:
-35 + 11a + 6a2 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 11a + 6a2 = 0

Factor a trinomial.
(-7 + -2a)(5 + -3a) = 0

Subproblem 1

Set the factor '(-7 + -2a)' equal to zero and attempt to solve: Simplifying -7 + -2a = 0 Solving -7 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2a = 0 + 7 -2a = 0 + 7 Combine like terms: 0 + 7 = 7 -2a = 7 Divide each side by '-2'. a = -3.5 Simplifying a = -3.5

Subproblem 2

Set the factor '(5 + -3a)' equal to zero and attempt to solve: Simplifying 5 + -3a = 0 Solving 5 + -3a = 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 + -3a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 0 + -5 -3a = 0 + -5 Combine like terms: 0 + -5 = -5 -3a = -5 Divide each side by '-3'. a = 1.666666667 Simplifying a = 1.666666667

Solution

a = {-3.5, 1.666666667}

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