12x^6-5x^3=2

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Solution for 12x^6-5x^3=2 equation:


Simplifying
12x6 + -5x3 = 2

Reorder the terms:
-5x3 + 12x6 = 2

Solving
-5x3 + 12x6 = 2

Solving for variable 'x'.

Reorder the terms:
-2 + -5x3 + 12x6 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -5x3 + 12x6 = 0

Factor a trinomial.
(-1 + -4x3)(2 + -3x3) = 0

Subproblem 1

Set the factor '(-1 + -4x3)' equal to zero and attempt to solve: Simplifying -1 + -4x3 = 0 Solving -1 + -4x3 = 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 + -4x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x3 = 0 + 1 -4x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -4x3 = 1 Divide each side by '-4'. x3 = -0.25 Simplifying x3 = -0.25 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + -3x3)' equal to zero and attempt to solve: Simplifying 2 + -3x3 = 0 Solving 2 + -3x3 = 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 + -3x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x3 = 0 + -2 -3x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x3 = -2 Divide each side by '-3'. x3 = 0.6666666667 Simplifying x3 = 0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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