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Simplifying 7xy(4x2y + -2xy + 3xy2) = 0 Reorder the terms: 7xy(-2xy + 3xy2 + 4x2y) = 0 (-2xy * 7xy + 3xy2 * 7xy + 4x2y * 7xy) = 0 (-14x2y2 + 21x2y3 + 28x3y2) = 0 Solving -14x2y2 + 21x2y3 + 28x3y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7x2y2'. 7x2y2(-2 + 3y + 4x) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve: Simplifying x2y2 = 0 Solving x2y2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + 3y + 4x)' equal to zero and attempt to solve: Simplifying -2 + 3y + 4x = 0 Reorder the terms: -2 + 4x + 3y = 0 Solving -2 + 4x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 4x + 2 + 3y = 0 + 2 Reorder the terms: -2 + 2 + 4x + 3y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + 3y = 0 + 2 4x + 3y = 0 + 2 Combine like terms: 0 + 2 = 2 4x + 3y = 2 Add '-3y' to each side of the equation. 4x + 3y + -3y = 2 + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 2 + -3y 4x = 2 + -3y Divide each side by '4'. x = 0.5 + -0.75y Simplifying x = 0.5 + -0.75ySolution
x = {0.5 + -0.75y}
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