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Simplifying 49x6 + 14x3y + -15y2 = 0 Reorder the terms: 14x3y + 49x6 + -15y2 = 0 Solving 14x3y + 49x6 + -15y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x3 + -3y)(7x3 + 5y) = 0Subproblem 1
Set the factor '(7x3 + -3y)' equal to zero and attempt to solve: Simplifying 7x3 + -3y = 0 Solving 7x3 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 7x3 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 7x3 + 0 = 0 + 3y 7x3 = 0 + 3y Remove the zero: 7x3 = 3y Divide each side by '7'. x3 = 0.4285714286y Simplifying x3 = 0.4285714286y 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 '(7x3 + 5y)' equal to zero and attempt to solve: Simplifying 7x3 + 5y = 0 Solving 7x3 + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 7x3 + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 7x3 + 0 = 0 + -5y 7x3 = 0 + -5y Remove the zero: 7x3 = -5y Divide each side by '7'. x3 = -0.7142857143y Simplifying x3 = -0.7142857143y 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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