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Simplifying (5x6 + 8y2)(5x6 + 8y2) = 0 Multiply (5x6 + 8y2) * (5x6 + 8y2) (5x6 * (5x6 + 8y2) + 8y2 * (5x6 + 8y2)) = 0 ((5x6 * 5x6 + 8y2 * 5x6) + 8y2 * (5x6 + 8y2)) = 0 Reorder the terms: ((40x6y2 + 25x12) + 8y2 * (5x6 + 8y2)) = 0 ((40x6y2 + 25x12) + 8y2 * (5x6 + 8y2)) = 0 (40x6y2 + 25x12 + (5x6 * 8y2 + 8y2 * 8y2)) = 0 (40x6y2 + 25x12 + (40x6y2 + 64y4)) = 0 Reorder the terms: (40x6y2 + 40x6y2 + 25x12 + 64y4) = 0 Combine like terms: 40x6y2 + 40x6y2 = 80x6y2 (80x6y2 + 25x12 + 64y4) = 0 Solving 80x6y2 + 25x12 + 64y4 = 0 Solving for variable 'x'. Factor a trinomial. (5x6 + 8y2)(5x6 + 8y2) = 0Subproblem 1
Set the factor '(5x6 + 8y2)' equal to zero and attempt to solve: Simplifying 5x6 + 8y2 = 0 Solving 5x6 + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 5x6 + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 5x6 + 0 = 0 + -8y2 5x6 = 0 + -8y2 Remove the zero: 5x6 = -8y2 Divide each side by '5'. x6 = -1.6y2 Simplifying x6 = -1.6y2 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 '(5x6 + 8y2)' equal to zero and attempt to solve: Simplifying 5x6 + 8y2 = 0 Solving 5x6 + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. 5x6 + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 5x6 + 0 = 0 + -8y2 5x6 = 0 + -8y2 Remove the zero: 5x6 = -8y2 Divide each side by '5'. x6 = -1.6y2 Simplifying x6 = -1.6y2 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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