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Simplifying (7x2 + -6y)(x2 + y) = 0 Multiply (7x2 + -6y) * (x2 + y) (7x2 * (x2 + y) + -6y * (x2 + y)) = 0 ((x2 * 7x2 + y * 7x2) + -6y * (x2 + y)) = 0 Reorder the terms: ((7x2y + 7x4) + -6y * (x2 + y)) = 0 ((7x2y + 7x4) + -6y * (x2 + y)) = 0 (7x2y + 7x4 + (x2 * -6y + y * -6y)) = 0 (7x2y + 7x4 + (-6x2y + -6y2)) = 0 Reorder the terms: (7x2y + -6x2y + 7x4 + -6y2) = 0 Combine like terms: 7x2y + -6x2y = 1x2y (1x2y + 7x4 + -6y2) = 0 Solving 1x2y + 7x4 + -6y2 = 0 Solving for variable 'x'. Factor a trinomial. (7x2 + -6y)(x2 + y) = 0Subproblem 1
Set the factor '(7x2 + -6y)' equal to zero and attempt to solve: Simplifying 7x2 + -6y = 0 Solving 7x2 + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. 7x2 + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 7x2 + 0 = 0 + 6y 7x2 = 0 + 6y Remove the zero: 7x2 = 6y Divide each side by '7'. x2 = 0.8571428571y Simplifying x2 = 0.8571428571y 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 '(x2 + y)' equal to zero and attempt to solve: Simplifying x2 + y = 0 Solving x2 + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x2 + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x2 + 0 = 0 + -1y x2 = 0 + -1y Remove the zero: x2 = -1y Simplifying x2 = -1y 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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