a^2=48-2a

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Solution for a^2=48-2a equation:


Simplifying
a2 = 48 + -2a

Solving
a2 = 48 + -2a

Solving for variable 'a'.

Reorder the terms:
-48 + 2a + a2 = 48 + -2a + -48 + 2a

Reorder the terms:
-48 + 2a + a2 = 48 + -48 + -2a + 2a

Combine like terms: 48 + -48 = 0
-48 + 2a + a2 = 0 + -2a + 2a
-48 + 2a + a2 = -2a + 2a

Combine like terms: -2a + 2a = 0
-48 + 2a + a2 = 0

Factor a trinomial.
(-8 + -1a)(6 + -1a) = 0

Subproblem 1

Set the factor '(-8 + -1a)' equal to zero and attempt to solve: Simplifying -8 + -1a = 0 Solving -8 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1a = 0 + 8 -1a = 0 + 8 Combine like terms: 0 + 8 = 8 -1a = 8 Divide each side by '-1'. a = -8 Simplifying a = -8

Subproblem 2

Set the factor '(6 + -1a)' equal to zero and attempt to solve: Simplifying 6 + -1a = 0 Solving 6 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1a = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1a = 0 + -6 -1a = 0 + -6 Combine like terms: 0 + -6 = -6 -1a = -6 Divide each side by '-1'. a = 6 Simplifying a = 6

Solution

a = {-8, 6}

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