35a^2-6a-9=0

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Solution for 35a^2-6a-9=0 equation:


Simplifying
35a2 + -6a + -9 = 0

Reorder the terms:
-9 + -6a + 35a2 = 0

Solving
-9 + -6a + 35a2 = 0

Solving for variable 'a'.

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

Subproblem 1

Set the factor '(-3 + -7a)' equal to zero and attempt to solve: Simplifying -3 + -7a = 0 Solving -3 + -7a = 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 + -7a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7a = 0 + 3 -7a = 0 + 3 Combine like terms: 0 + 3 = 3 -7a = 3 Divide each side by '-7'. a = -0.4285714286 Simplifying a = -0.4285714286

Subproblem 2

Set the factor '(3 + -5a)' equal to zero and attempt to solve: Simplifying 3 + -5a = 0 Solving 3 + -5a = 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 + -5a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a = 0 + -3 -5a = 0 + -3 Combine like terms: 0 + -3 = -3 -5a = -3 Divide each side by '-5'. a = 0.6 Simplifying a = 0.6

Solution

a = {-0.4285714286, 0.6}

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