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Simplifying (3x3 + 4y5)(7x3 + 2y5) = 0 Multiply (3x3 + 4y5) * (7x3 + 2y5) (3x3 * (7x3 + 2y5) + 4y5 * (7x3 + 2y5)) = 0 ((7x3 * 3x3 + 2y5 * 3x3) + 4y5 * (7x3 + 2y5)) = 0 Reorder the terms: ((6x3y5 + 21x6) + 4y5 * (7x3 + 2y5)) = 0 ((6x3y5 + 21x6) + 4y5 * (7x3 + 2y5)) = 0 (6x3y5 + 21x6 + (7x3 * 4y5 + 2y5 * 4y5)) = 0 (6x3y5 + 21x6 + (28x3y5 + 8y10)) = 0 Reorder the terms: (6x3y5 + 28x3y5 + 21x6 + 8y10) = 0 Combine like terms: 6x3y5 + 28x3y5 = 34x3y5 (34x3y5 + 21x6 + 8y10) = 0 Solving 34x3y5 + 21x6 + 8y10 = 0 Solving for variable 'x'. Factor a trinomial. (7x3 + 2y5)(3x3 + 4y5) = 0Subproblem 1
Set the factor '(7x3 + 2y5)' equal to zero and attempt to solve: Simplifying 7x3 + 2y5 = 0 Solving 7x3 + 2y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y5' to each side of the equation. 7x3 + 2y5 + -2y5 = 0 + -2y5 Combine like terms: 2y5 + -2y5 = 0 7x3 + 0 = 0 + -2y5 7x3 = 0 + -2y5 Remove the zero: 7x3 = -2y5 Divide each side by '7'. x3 = -0.2857142857y5 Simplifying x3 = -0.2857142857y5 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 + 4y5)' equal to zero and attempt to solve: Simplifying 3x3 + 4y5 = 0 Solving 3x3 + 4y5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y5' to each side of the equation. 3x3 + 4y5 + -4y5 = 0 + -4y5 Combine like terms: 4y5 + -4y5 = 0 3x3 + 0 = 0 + -4y5 3x3 = 0 + -4y5 Remove the zero: 3x3 = -4y5 Divide each side by '3'. x3 = -1.333333333y5 Simplifying x3 = -1.333333333y5 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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