5a^2-8=18a

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Solution for 5a^2-8=18a equation:


Simplifying
5a2 + -8 = 18a

Reorder the terms:
-8 + 5a2 = 18a

Solving
-8 + 5a2 = 18a

Solving for variable 'a'.

Reorder the terms:
-8 + -18a + 5a2 = 18a + -18a

Combine like terms: 18a + -18a = 0
-8 + -18a + 5a2 = 0

Factor a trinomial.
(-2 + -5a)(4 + -1a) = 0

Subproblem 1

Set the factor '(-2 + -5a)' equal to zero and attempt to solve: Simplifying -2 + -5a = 0 Solving -2 + -5a = 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 + -5a = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 0 + 2 -5a = 0 + 2 Combine like terms: 0 + 2 = 2 -5a = 2 Divide each side by '-5'. a = -0.4 Simplifying a = -0.4

Subproblem 2

Set the factor '(4 + -1a)' equal to zero and attempt to solve: Simplifying 4 + -1a = 0 Solving 4 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1a = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 0 + -4 -1a = 0 + -4 Combine like terms: 0 + -4 = -4 -1a = -4 Divide each side by '-1'. a = 4 Simplifying a = 4

Solution

a = {-0.4, 4}

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