3X^2-2X-8=

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Solution for 3X^2-2X-8= equation:


Simplifying
3X2 + -2X + -8 = 0

Reorder the terms:
-8 + -2X + 3X2 = 0

Solving
-8 + -2X + 3X2 = 0

Solving for variable 'X'.

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

Subproblem 1

Set the factor '(-4 + -3X)' equal to zero and attempt to solve: Simplifying -4 + -3X = 0 Solving -4 + -3X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3X = 0 + 4 -3X = 0 + 4 Combine like terms: 0 + 4 = 4 -3X = 4 Divide each side by '-3'. X = -1.333333333 Simplifying X = -1.333333333

Subproblem 2

Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2

Solution

X = {-1.333333333, 2}

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