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Simplifying (3x * x + -4y)(3x * x + -4y) = 0 Multiply x * x (3x2 + -4y)(3x * x + -4y) = 0 Multiply x * x (3x2 + -4y)(3x2 + -4y) = 0 Multiply (3x2 + -4y) * (3x2 + -4y) (3x2 * (3x2 + -4y) + -4y * (3x2 + -4y)) = 0 ((3x2 * 3x2 + -4y * 3x2) + -4y * (3x2 + -4y)) = 0 Reorder the terms: ((-12x2y + 9x4) + -4y * (3x2 + -4y)) = 0 ((-12x2y + 9x4) + -4y * (3x2 + -4y)) = 0 (-12x2y + 9x4 + (3x2 * -4y + -4y * -4y)) = 0 (-12x2y + 9x4 + (-12x2y + 16y2)) = 0 Reorder the terms: (-12x2y + -12x2y + 9x4 + 16y2) = 0 Combine like terms: -12x2y + -12x2y = -24x2y (-24x2y + 9x4 + 16y2) = 0 Solving -24x2y + 9x4 + 16y2 = 0 Solving for variable 'x'. Factor a trinomial. (3x2 + -4y)(3x2 + -4y) = 0Subproblem 1
Set the factor '(3x2 + -4y)' equal to zero and attempt to solve: Simplifying 3x2 + -4y = 0 Solving 3x2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 3x2 + 0 = 0 + 4y 3x2 = 0 + 4y Remove the zero: 3x2 = 4y Divide each side by '3'. x2 = 1.333333333y Simplifying x2 = 1.333333333y 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 '(3x2 + -4y)' equal to zero and attempt to solve: Simplifying 3x2 + -4y = 0 Solving 3x2 + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x2 + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 3x2 + 0 = 0 + 4y 3x2 = 0 + 4y Remove the zero: 3x2 = 4y Divide each side by '3'. x2 = 1.333333333y Simplifying x2 = 1.333333333y 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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