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Simplifying (4x3 + -7y3)(4x3 + 7y3) = 0 Multiply (4x3 + -7y3) * (4x3 + 7y3) (4x3 * (4x3 + 7y3) + -7y3 * (4x3 + 7y3)) = 0 ((4x3 * 4x3 + 7y3 * 4x3) + -7y3 * (4x3 + 7y3)) = 0 Reorder the terms: ((28x3y3 + 16x6) + -7y3 * (4x3 + 7y3)) = 0 ((28x3y3 + 16x6) + -7y3 * (4x3 + 7y3)) = 0 (28x3y3 + 16x6 + (4x3 * -7y3 + 7y3 * -7y3)) = 0 (28x3y3 + 16x6 + (-28x3y3 + -49y6)) = 0 Reorder the terms: (28x3y3 + -28x3y3 + 16x6 + -49y6) = 0 Combine like terms: 28x3y3 + -28x3y3 = 0 (0 + 16x6 + -49y6) = 0 (16x6 + -49y6) = 0 Solving 16x6 + -49y6 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y6' to each side of the equation. 16x6 + -49y6 + 49y6 = 0 + 49y6 Combine like terms: -49y6 + 49y6 = 0 16x6 + 0 = 0 + 49y6 16x6 = 0 + 49y6 Remove the zero: 16x6 = 49y6 Divide each side by '16'. x6 = 3.0625y6 Simplifying x6 = 3.0625y6 Combine like terms: 3.0625y6 + -3.0625y6 = 0.0000 x6 + -3.0625y6 = 0.0000 Factor a difference between two squares. (x3 + 1.75y3)(x3 + -1.75y3) = 0.0000Subproblem 1
Set the factor '(x3 + 1.75y3)' equal to zero and attempt to solve: Simplifying x3 + 1.75y3 = 0 Solving x3 + 1.75y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1.75y3' to each side of the equation. x3 + 1.75y3 + -1.75y3 = 0 + -1.75y3 Combine like terms: 1.75y3 + -1.75y3 = 0.00 x3 + 0.00 = 0 + -1.75y3 x3 = 0 + -1.75y3 Remove the zero: x3 = -1.75y3 Simplifying x3 = -1.75y3 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 '(x3 + -1.75y3)' equal to zero and attempt to solve: Simplifying x3 + -1.75y3 = 0 Solving x3 + -1.75y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1.75y3' to each side of the equation. x3 + -1.75y3 + 1.75y3 = 0 + 1.75y3 Combine like terms: -1.75y3 + 1.75y3 = 0.00 x3 + 0.00 = 0 + 1.75y3 x3 = 0 + 1.75y3 Remove the zero: x3 = 1.75y3 Simplifying x3 = 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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