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Simplifying 16y2x2 + 24yx2 + 9x2 = 0 Reorder the terms: 9x2 + 24x2y + 16x2y2 = 0 Solving 9x2 + 24x2y + 16x2y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'x2'. x2(9 + 24y + 16y2) = 0 Factor a trinomial. x2((3 + 4y)(3 + 4y)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Add '-4y' to each side of the equation. 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 0 = -3 + -4y Simplifying 0 = -3 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + 4y)' equal to zero and attempt to solve: Simplifying 3 + 4y = 0 Solving 3 + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4y = 0 + -3 4y = 0 + -3 Combine like terms: 0 + -3 = -3 4y = -3 Add '-4y' to each side of the equation. 4y + -4y = -3 + -4y Combine like terms: 4y + -4y = 0 0 = -3 + -4y Simplifying 0 = -3 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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