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Simplifying (4xy + -7)(4xy + -7) = 0 Reorder the terms: (-7 + 4xy)(4xy + -7) = 0 Reorder the terms: (-7 + 4xy)(-7 + 4xy) = 0 Multiply (-7 + 4xy) * (-7 + 4xy) (-7(-7 + 4xy) + 4xy * (-7 + 4xy)) = 0 ((-7 * -7 + 4xy * -7) + 4xy * (-7 + 4xy)) = 0 ((49 + -28xy) + 4xy * (-7 + 4xy)) = 0 (49 + -28xy + (-7 * 4xy + 4xy * 4xy)) = 0 (49 + -28xy + (-28xy + 16x2y2)) = 0 Combine like terms: -28xy + -28xy = -56xy (49 + -56xy + 16x2y2) = 0 Solving 49 + -56xy + 16x2y2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4xy)(7 + -4xy) = 0Subproblem 1
Set the factor '(7 + -4xy)' equal to zero and attempt to solve: Simplifying 7 + -4xy = 0 Solving 7 + -4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4xy = 0 + -7 -4xy = 0 + -7 Combine like terms: 0 + -7 = -7 -4xy = -7 Divide each side by '-4y'. x = 1.75y-1 Simplifying x = 1.75y-1Subproblem 2
Set the factor '(7 + -4xy)' equal to zero and attempt to solve: Simplifying 7 + -4xy = 0 Solving 7 + -4xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4xy = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4xy = 0 + -7 -4xy = 0 + -7 Combine like terms: 0 + -7 = -7 -4xy = -7 Divide each side by '-4y'. x = 1.75y-1 Simplifying x = 1.75y-1Solution
x = {1.75y-1, 1.75y-1}
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