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Simplifying x2 = 36y2 + 5 Reorder the terms: x2 = 5 + 36y2 Solving x2 = 5 + 36y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 5 + 36y2 Reorder the terms: -5 + x2 + -36y2 = 5 + 36y2 + -5 + -36y2 Reorder the terms: -5 + x2 + -36y2 = 5 + -5 + 36y2 + -36y2 Combine like terms: 5 + -5 = 0 -5 + x2 + -36y2 = 0 + 36y2 + -36y2 -5 + x2 + -36y2 = 36y2 + -36y2 Combine like terms: 36y2 + -36y2 = 0 -5 + x2 + -36y2 = 0 Factor a trinomial. (x + -9y)(x + 4y) = 0Subproblem 1
Set the factor '(x + -9y)' equal to zero and attempt to solve: Simplifying x + -9y = 0 Solving x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '9y' to each side of the equation. x + -9y + 9y = 0 + 9y Combine like terms: -9y + 9y = 0 x + 0 = 0 + 9y x = 0 + 9y Remove the zero: x = 9y Simplifying x = 9ySubproblem 2
Set the factor '(x + 4y)' equal to zero and attempt to solve: Simplifying x + 4y = 0 Solving x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 0 + -4y x = 0 + -4y Remove the zero: x = -4y Simplifying x = -4ySolution
x = {9y, -4y}
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