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Simplifying (x + 5y)(x + 5y) = 0 Multiply (x + 5y) * (x + 5y) (x(x + 5y) + 5y * (x + 5y)) = 0 ((x * x + 5y * x) + 5y * (x + 5y)) = 0 Reorder the terms: ((5xy + x2) + 5y * (x + 5y)) = 0 ((5xy + x2) + 5y * (x + 5y)) = 0 (5xy + x2 + (x * 5y + 5y * 5y)) = 0 (5xy + x2 + (5xy + 25y2)) = 0 Reorder the terms: (5xy + 5xy + x2 + 25y2) = 0 Combine like terms: 5xy + 5xy = 10xy (10xy + x2 + 25y2) = 0 Solving 10xy + x2 + 25y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + 5y)(x + 5y) = 0Subproblem 1
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySubproblem 2
Set the factor '(x + 5y)' equal to zero and attempt to solve: Simplifying x + 5y = 0 Solving x + 5y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 x + 0 = 0 + -5y x = 0 + -5y Remove the zero: x = -5y Simplifying x = -5ySolution
x = {-5y, -5y}
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