3a^2-10a-125=0

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Solution for 3a^2-10a-125=0 equation:


Simplifying
3a2 + -10a + -125 = 0

Reorder the terms:
-125 + -10a + 3a2 = 0

Solving
-125 + -10a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -1a)(25 + -3a) = 0

Subproblem 1

Set the factor '(-5 + -1a)' equal to zero and attempt to solve: Simplifying -5 + -1a = 0 Solving -5 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1a = 0 + 5 -1a = 0 + 5 Combine like terms: 0 + 5 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5

Subproblem 2

Set the factor '(25 + -3a)' equal to zero and attempt to solve: Simplifying 25 + -3a = 0 Solving 25 + -3a = 0 Move all terms containing a to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3a = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3a = 0 + -25 -3a = 0 + -25 Combine like terms: 0 + -25 = -25 -3a = -25 Divide each side by '-3'. a = 8.333333333 Simplifying a = 8.333333333

Solution

a = {-5, 8.333333333}

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