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Simplifying x2 + -42xy + -343y2 = 0 Reorder the terms: -42xy + x2 + -343y2 = 0 Solving -42xy + x2 + -343y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -49y)(x + 7y) = 0Subproblem 1
Set the factor '(x + -49y)' equal to zero and attempt to solve: Simplifying x + -49y = 0 Solving x + -49y = 0 Move all terms containing x to the left, all other terms to the right. Add '49y' to each side of the equation. x + -49y + 49y = 0 + 49y Combine like terms: -49y + 49y = 0 x + 0 = 0 + 49y x = 0 + 49y Remove the zero: x = 49y Simplifying x = 49ySubproblem 2
Set the factor '(x + 7y)' equal to zero and attempt to solve: Simplifying x + 7y = 0 Solving x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 x + 0 = 0 + -7y x = 0 + -7y Remove the zero: x = -7y Simplifying x = -7ySolution
x = {49y, -7y}
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