42a^2-93a-30=

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Solution for 42a^2-93a-30= equation:


Simplifying
42a2 + -93a + -30 = 0

Reorder the terms:
-30 + -93a + 42a2 = 0

Solving
-30 + -93a + 42a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + -31a + 14a2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(-2 + -7a)' equal to zero and attempt to solve: Simplifying -2 + -7a = 0 Solving -2 + -7a = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7a = 0 + 2 -7a = 0 + 2 Combine like terms: 0 + 2 = 2 -7a = 2 Divide each side by '-7'. a = -0.2857142857 Simplifying a = -0.2857142857

Subproblem 2

Set the factor '(5 + -2a)' equal to zero and attempt to solve: Simplifying 5 + -2a = 0 Solving 5 + -2a = 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 + -2a = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = 0 + -5 -2a = 0 + -5 Combine like terms: 0 + -5 = -5 -2a = -5 Divide each side by '-2'. a = 2.5 Simplifying a = 2.5

Solution

a = {-0.2857142857, 2.5}

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