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Simplifying 16x2 + 56xy + 49y2 = 0 Reorder the terms: 56xy + 16x2 + 49y2 = 0 Solving 56xy + 16x2 + 49y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x + 7y)(4x + 7y) = 0Subproblem 1
Set the factor '(4x + 7y)' equal to zero and attempt to solve: Simplifying 4x + 7y = 0 Solving 4x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 4x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4x + 0 = 0 + -7y 4x = 0 + -7y Remove the zero: 4x = -7y Divide each side by '4'. x = -1.75y Simplifying x = -1.75ySubproblem 2
Set the factor '(4x + 7y)' equal to zero and attempt to solve: Simplifying 4x + 7y = 0 Solving 4x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. 4x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 4x + 0 = 0 + -7y 4x = 0 + -7y Remove the zero: 4x = -7y Divide each side by '4'. x = -1.75y Simplifying x = -1.75ySolution
x = {-1.75y, -1.75y}
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