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Simplifying (12x2 + 7y3)(4x2 + 7y3) = 0 Multiply (12x2 + 7y3) * (4x2 + 7y3) (12x2 * (4x2 + 7y3) + 7y3 * (4x2 + 7y3)) = 0 ((4x2 * 12x2 + 7y3 * 12x2) + 7y3 * (4x2 + 7y3)) = 0 Reorder the terms: ((84x2y3 + 48x4) + 7y3 * (4x2 + 7y3)) = 0 ((84x2y3 + 48x4) + 7y3 * (4x2 + 7y3)) = 0 (84x2y3 + 48x4 + (4x2 * 7y3 + 7y3 * 7y3)) = 0 (84x2y3 + 48x4 + (28x2y3 + 49y6)) = 0 Reorder the terms: (84x2y3 + 28x2y3 + 48x4 + 49y6) = 0 Combine like terms: 84x2y3 + 28x2y3 = 112x2y3 (112x2y3 + 48x4 + 49y6) = 0 Solving 112x2y3 + 48x4 + 49y6 = 0 Solving for variable 'x'. Factor a trinomial. (12x2 + 7y3)(4x2 + 7y3) = 0Subproblem 1
Set the factor '(12x2 + 7y3)' equal to zero and attempt to solve: Simplifying 12x2 + 7y3 = 0 Solving 12x2 + 7y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3' to each side of the equation. 12x2 + 7y3 + -7y3 = 0 + -7y3 Combine like terms: 7y3 + -7y3 = 0 12x2 + 0 = 0 + -7y3 12x2 = 0 + -7y3 Remove the zero: 12x2 = -7y3 Divide each side by '12'. x2 = -0.5833333333y3 Simplifying x2 = -0.5833333333y3 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 + 7y3)' equal to zero and attempt to solve: Simplifying 4x2 + 7y3 = 0 Solving 4x2 + 7y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3' to each side of the equation. 4x2 + 7y3 + -7y3 = 0 + -7y3 Combine like terms: 7y3 + -7y3 = 0 4x2 + 0 = 0 + -7y3 4x2 = 0 + -7y3 Remove the zero: 4x2 = -7y3 Divide each side by '4'. x2 = -1.75y3 Simplifying x2 = -1.75y3 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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