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Simplifying (4x2 + 7y8)(4x2 + 7y8) = 0 Multiply (4x2 + 7y8) * (4x2 + 7y8) (4x2 * (4x2 + 7y8) + 7y8 * (4x2 + 7y8)) = 0 ((4x2 * 4x2 + 7y8 * 4x2) + 7y8 * (4x2 + 7y8)) = 0 Reorder the terms: ((28x2y8 + 16x4) + 7y8 * (4x2 + 7y8)) = 0 ((28x2y8 + 16x4) + 7y8 * (4x2 + 7y8)) = 0 (28x2y8 + 16x4 + (4x2 * 7y8 + 7y8 * 7y8)) = 0 (28x2y8 + 16x4 + (28x2y8 + 49y16)) = 0 Reorder the terms: (28x2y8 + 28x2y8 + 16x4 + 49y16) = 0 Combine like terms: 28x2y8 + 28x2y8 = 56x2y8 (56x2y8 + 16x4 + 49y16) = 0 Solving 56x2y8 + 16x4 + 49y16 = 0 Solving for variable 'x'. Factor a trinomial. (4x2 + 7y8)(4x2 + 7y8) = 0Subproblem 1
Set the factor '(4x2 + 7y8)' equal to zero and attempt to solve: Simplifying 4x2 + 7y8 = 0 Solving 4x2 + 7y8 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y8' to each side of the equation. 4x2 + 7y8 + -7y8 = 0 + -7y8 Combine like terms: 7y8 + -7y8 = 0 4x2 + 0 = 0 + -7y8 4x2 = 0 + -7y8 Remove the zero: 4x2 = -7y8 Divide each side by '4'. x2 = -1.75y8 Simplifying x2 = -1.75y8 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 + 7y8)' equal to zero and attempt to solve: Simplifying 4x2 + 7y8 = 0 Solving 4x2 + 7y8 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y8' to each side of the equation. 4x2 + 7y8 + -7y8 = 0 + -7y8 Combine like terms: 7y8 + -7y8 = 0 4x2 + 0 = 0 + -7y8 4x2 = 0 + -7y8 Remove the zero: 4x2 = -7y8 Divide each side by '4'. x2 = -1.75y8 Simplifying x2 = -1.75y8 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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