12X^2-5X-2=

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Solution for 12X^2-5X-2= equation:


Simplifying
12X2 + -5X + -2 = 0

Reorder the terms:
-2 + -5X + 12X2 = 0

Solving
-2 + -5X + 12X2 = 0

Solving for variable 'X'.

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

Subproblem 1

Set the factor '(-1 + -4X)' equal to zero and attempt to solve: Simplifying -1 + -4X = 0 Solving -1 + -4X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4X = 0 + 1 -4X = 0 + 1 Combine like terms: 0 + 1 = 1 -4X = 1 Divide each side by '-4'. X = -0.25 Simplifying X = -0.25

Subproblem 2

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

Solution

X = {-0.25, 0.6666666667}

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