5a^2-42a-27=0

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Solution for 5a^2-42a-27=0 equation:


Simplifying
5a2 + -42a + -27 = 0

Reorder the terms:
-27 + -42a + 5a2 = 0

Solving
-27 + -42a + 5a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-3 + -5a)(9 + -1a) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -1a)' equal to zero and attempt to solve: Simplifying 9 + -1a = 0 Solving 9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 0 + -9 -1a = 0 + -9 Combine like terms: 0 + -9 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9

Solution

a = {-0.6, 9}

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