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Simplifying (2xy3 + 3x2y4) + -1(6xy3 + -4x2y4) = 0 Remove parenthesis around (2xy3 + 3x2y4) 2xy3 + 3x2y4 + -1(6xy3 + -4x2y4) = 0 2xy3 + 3x2y4 + (6xy3 * -1 + -4x2y4 * -1) = 0 2xy3 + 3x2y4 + (-6xy3 + 4x2y4) = 0 Reorder the terms: 2xy3 + -6xy3 + 3x2y4 + 4x2y4 = 0 Combine like terms: 2xy3 + -6xy3 = -4xy3 -4xy3 + 3x2y4 + 4x2y4 = 0 Combine like terms: 3x2y4 + 4x2y4 = 7x2y4 -4xy3 + 7x2y4 = 0 Solving -4xy3 + 7x2y4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy3'. xy3(-4 + 7xy) = 0Subproblem 1
Set the factor 'xy3' equal to zero and attempt to solve: Simplifying xy3 = 0 Solving xy3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy3 = 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 '(-4 + 7xy)' equal to zero and attempt to solve: Simplifying -4 + 7xy = 0 Solving -4 + 7xy = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7xy = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7xy = 0 + 4 7xy = 0 + 4 Combine like terms: 0 + 4 = 4 7xy = 4 Divide each side by '7y'. x = 0.5714285714y-1 Simplifying x = 0.5714285714y-1Solution
x = {0.5714285714y-1}
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