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Simplifying 16x4 + -24x2y = -9y2 Reorder the terms: -24x2y + 16x4 = -9y2 Solving -24x2y + 16x4 = -9y2 Solving for variable 'x'. Combine like terms: -9y2 + 9y2 = 0 -24x2y + 16x4 + 9y2 = 0 Factor a trinomial. (4x2 + -3y)(4x2 + -3y) = 0Subproblem 1
Set the factor '(4x2 + -3y)' equal to zero and attempt to solve: Simplifying 4x2 + -3y = 0 Solving 4x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x2 + 0 = 0 + 3y 4x2 = 0 + 3y Remove the zero: 4x2 = 3y Divide each side by '4'. x2 = 0.75y Simplifying x2 = 0.75y 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 '(4x2 + -3y)' equal to zero and attempt to solve: Simplifying 4x2 + -3y = 0 Solving 4x2 + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 4x2 + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 4x2 + 0 = 0 + 3y 4x2 = 0 + 3y Remove the zero: 4x2 = 3y Divide each side by '4'. x2 = 0.75y Simplifying x2 = 0.75y 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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