3a^2+10a-8=0

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Solution for 3a^2+10a-8=0 equation:


Simplifying
3a2 + 10a + -8 = 0

Reorder the terms:
-8 + 10a + 3a2 = 0

Solving
-8 + 10a + 3a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -1a)(2 + -3a) = 0

Subproblem 1

Set the factor '(-4 + -1a)' equal to zero and attempt to solve: Simplifying -4 + -1a = 0 Solving -4 + -1a = 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 + -1a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1a = 0 + 4 -1a = 0 + 4 Combine like terms: 0 + 4 = 4 -1a = 4 Divide each side by '-1'. a = -4 Simplifying a = -4

Subproblem 2

Set the factor '(2 + -3a)' equal to zero and attempt to solve: Simplifying 2 + -3a = 0 Solving 2 + -3a = 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 + -3a = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 0 + -2 -3a = 0 + -2 Combine like terms: 0 + -2 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667

Solution

a = {-4, 0.6666666667}

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