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Simplifying 4x2y2 + 28xy + 49 = 4 Reorder the terms: 49 + 28xy + 4x2y2 = 4 Solving 49 + 28xy + 4x2y2 = 4 Solving for variable 'x'. Reorder the terms: 49 + -4 + 28xy + 4x2y2 = 4 + -4 Combine like terms: 49 + -4 = 45 45 + 28xy + 4x2y2 = 4 + -4 Combine like terms: 4 + -4 = 0 45 + 28xy + 4x2y2 = 0 Factor a trinomial. (9 + 2xy)(5 + 2xy) = 0Subproblem 1
Set the factor '(9 + 2xy)' equal to zero and attempt to solve: Simplifying 9 + 2xy = 0 Solving 9 + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2xy = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2xy = 0 + -9 2xy = 0 + -9 Combine like terms: 0 + -9 = -9 2xy = -9 Divide each side by '2y'. x = -4.5y-1 Simplifying x = -4.5y-1Subproblem 2
Set the factor '(5 + 2xy)' equal to zero and attempt to solve: Simplifying 5 + 2xy = 0 Solving 5 + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2xy = 0 + -5 2xy = 0 + -5 Combine like terms: 0 + -5 = -5 2xy = -5 Divide each side by '2y'. x = -2.5y-1 Simplifying x = -2.5y-1Solution
x = {-4.5y-1, -2.5y-1}
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