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Simplifying 14x2 + -53xy + 14x2 = 0 Reorder the terms: -53xy + 14x2 + 14x2 = 0 Combine like terms: 14x2 + 14x2 = 28x2 -53xy + 28x2 = 0 Solving -53xy + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-53y + 28x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-53y + 28x)' equal to zero and attempt to solve: Simplifying -53y + 28x = 0 Reorder the terms: 28x + -53y = 0 Solving 28x + -53y = 0 Move all terms containing x to the left, all other terms to the right. Add '53y' to each side of the equation. 28x + -53y + 53y = 0 + 53y Combine like terms: -53y + 53y = 0 28x + 0 = 0 + 53y 28x = 0 + 53y Remove the zero: 28x = 53y Divide each side by '28'. x = 1.892857143y Simplifying x = 1.892857143ySolution
x = {0, 1.892857143y}
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