12a^2-5a-28=0

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Solution for 12a^2-5a-28=0 equation:


Simplifying
12a2 + -5a + -28 = 0

Reorder the terms:
-28 + -5a + 12a2 = 0

Solving
-28 + -5a + 12a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -3a)(7 + -4a) = 0

Subproblem 1

Set the factor '(-4 + -3a)' equal to zero and attempt to solve: Simplifying -4 + -3a = 0 Solving -4 + -3a = 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 + -3a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3a = 0 + 4 -3a = 0 + 4 Combine like terms: 0 + 4 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333

Subproblem 2

Set the factor '(7 + -4a)' equal to zero and attempt to solve: Simplifying 7 + -4a = 0 Solving 7 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 0 + -7 -4a = 0 + -7 Combine like terms: 0 + -7 = -7 -4a = -7 Divide each side by '-4'. a = 1.75 Simplifying a = 1.75

Solution

a = {-1.333333333, 1.75}

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