45a^2+8a-2=2

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Solution for 45a^2+8a-2=2 equation:


Simplifying
45a2 + 8a + -2 = 2

Reorder the terms:
-2 + 8a + 45a2 = 2

Solving
-2 + 8a + 45a2 = 2

Solving for variable 'a'.

Reorder the terms:
-2 + -2 + 8a + 45a2 = 2 + -2

Combine like terms: -2 + -2 = -4
-4 + 8a + 45a2 = 2 + -2

Combine like terms: 2 + -2 = 0
-4 + 8a + 45a2 = 0

Factor a trinomial.
(-2 + -5a)(2 + -9a) = 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 '(2 + -9a)' equal to zero and attempt to solve: Simplifying 2 + -9a = 0 Solving 2 + -9a = 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 + -9a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9a = 0 + -2 -9a = 0 + -2 Combine like terms: 0 + -2 = -2 -9a = -2 Divide each side by '-9'. a = 0.2222222222 Simplifying a = 0.2222222222

Solution

a = {-0.4, 0.2222222222}

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