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Simplifying 4xy(x + 7) = 0 Reorder the terms: 4xy(7 + x) = 0 (7 * 4xy + x * 4xy) = 0 (28xy + 4x2y) = 0 Solving 28xy + 4x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4xy'. 4xy(7 + x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-7}
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