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Simplifying (5x3 + 2y4)(3x3 + 2y4) = 0 Multiply (5x3 + 2y4) * (3x3 + 2y4) (5x3 * (3x3 + 2y4) + 2y4 * (3x3 + 2y4)) = 0 ((3x3 * 5x3 + 2y4 * 5x3) + 2y4 * (3x3 + 2y4)) = 0 Reorder the terms: ((10x3y4 + 15x6) + 2y4 * (3x3 + 2y4)) = 0 ((10x3y4 + 15x6) + 2y4 * (3x3 + 2y4)) = 0 (10x3y4 + 15x6 + (3x3 * 2y4 + 2y4 * 2y4)) = 0 (10x3y4 + 15x6 + (6x3y4 + 4y8)) = 0 Reorder the terms: (10x3y4 + 6x3y4 + 15x6 + 4y8) = 0 Combine like terms: 10x3y4 + 6x3y4 = 16x3y4 (16x3y4 + 15x6 + 4y8) = 0 Solving 16x3y4 + 15x6 + 4y8 = 0 Solving for variable 'x'. Factor a trinomial. (5x3 + 2y4)(3x3 + 2y4) = 0Subproblem 1
Set the factor '(5x3 + 2y4)' equal to zero and attempt to solve: Simplifying 5x3 + 2y4 = 0 Solving 5x3 + 2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y4' to each side of the equation. 5x3 + 2y4 + -2y4 = 0 + -2y4 Combine like terms: 2y4 + -2y4 = 0 5x3 + 0 = 0 + -2y4 5x3 = 0 + -2y4 Remove the zero: 5x3 = -2y4 Divide each side by '5'. x3 = -0.4y4 Simplifying x3 = -0.4y4 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 '(3x3 + 2y4)' equal to zero and attempt to solve: Simplifying 3x3 + 2y4 = 0 Solving 3x3 + 2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y4' to each side of the equation. 3x3 + 2y4 + -2y4 = 0 + -2y4 Combine like terms: 2y4 + -2y4 = 0 3x3 + 0 = 0 + -2y4 3x3 = 0 + -2y4 Remove the zero: 3x3 = -2y4 Divide each side by '3'. x3 = -0.6666666667y4 Simplifying x3 = -0.6666666667y4 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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