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Simplifying 5x6 + 17x3y + -12y2 = 0 Reorder the terms: 17x3y + 5x6 + -12y2 = 0 Solving 17x3y + 5x6 + -12y2 = 0 Solving for variable 'x'. Factor a trinomial. (5x3 + -3y)(x3 + 4y) = 0Subproblem 1
Set the factor '(5x3 + -3y)' equal to zero and attempt to solve: Simplifying 5x3 + -3y = 0 Solving 5x3 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x3 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 5x3 + 0 = 0 + 3y 5x3 = 0 + 3y Remove the zero: 5x3 = 3y Divide each side by '5'. x3 = 0.6y Simplifying x3 = 0.6y 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 '(x3 + 4y)' equal to zero and attempt to solve: Simplifying x3 + 4y = 0 Solving x3 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x3 + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x3 + 0 = 0 + -4y x3 = 0 + -4y Remove the zero: x3 = -4y Simplifying x3 = -4y 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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