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Simplifying 42x5y4 = (-7x3y)(x) Remove parenthesis around (-7x3y) 42x5y4 = -7x3y(x) Multiply x3y * x 42x5y4 = -7x4y Solving 42x5y4 = -7x4y Solving for variable 'x'. Reorder the terms: 7x4y + 42x5y4 = -7x4y + 7x4y Combine like terms: -7x4y + 7x4y = 0 7x4y + 42x5y4 = 0 Factor out the Greatest Common Factor (GCF), '7x4y'. 7x4y(1 + 6xy3) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'x4y' equal to zero and attempt to solve: Simplifying x4y = 0 Solving x4y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4y = 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 '(1 + 6xy3)' equal to zero and attempt to solve: Simplifying 1 + 6xy3 = 0 Solving 1 + 6xy3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6xy3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6xy3 = 0 + -1 6xy3 = 0 + -1 Combine like terms: 0 + -1 = -1 6xy3 = -1 Divide each side by '6y3'. x = -0.1666666667y-3 Simplifying x = -0.1666666667y-3Solution
x = {-0.1666666667y-3}
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