3a^2-30a=-48

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Solution for 3a^2-30a=-48 equation:


Simplifying
3a2 + -30a = -48

Reorder the terms:
-30a + 3a2 = -48

Solving
-30a + 3a2 = -48

Solving for variable 'a'.

Reorder the terms:
48 + -30a + 3a2 = -48 + 48

Combine like terms: -48 + 48 = 0
48 + -30a + 3a2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(16 + -10a + a2) = 0

Factor a trinomial.
3((2 + -1a)(8 + -1a)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -1a)' equal to zero and attempt to solve: Simplifying 2 + -1a = 0 Solving 2 + -1a = 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 + -1a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a = 0 + -2 -1a = 0 + -2 Combine like terms: 0 + -2 = -2 -1a = -2 Divide each side by '-1'. a = 2 Simplifying a = 2

Subproblem 2

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

Solution

a = {2, 8}

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