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Simplifying 21x2y + -448xy + -168x2 + -56xy2 = 0 Reorder the terms: -448xy + -56xy2 + -168x2 + 21x2y = 0 Solving -448xy + -56xy2 + -168x2 + 21x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x'. 7x(-64y + -8y2 + -24x + 3xy) = 0 Ignore the factor 7.Subproblem 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 '(-64y + -8y2 + -24x + 3xy)' equal to zero and attempt to solve: Simplifying -64y + -8y2 + -24x + 3xy = 0 Reorder the terms: -24x + 3xy + -64y + -8y2 = 0 Solving -24x + 3xy + -64y + -8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '64y' to each side of the equation. -24x + 3xy + -64y + 64y + -8y2 = 0 + 64y Combine like terms: -64y + 64y = 0 -24x + 3xy + 0 + -8y2 = 0 + 64y -24x + 3xy + -8y2 = 0 + 64y Remove the zero: -24x + 3xy + -8y2 = 64y Add '8y2' to each side of the equation. -24x + 3xy + -8y2 + 8y2 = 64y + 8y2 Combine like terms: -8y2 + 8y2 = 0 -24x + 3xy + 0 = 64y + 8y2 -24x + 3xy = 64y + 8y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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