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Simplifying 8x3(y3) + 8000 = 0 Multiply x3 * y3 8x3y3 + 8000 = 0 Reorder the terms: 8000 + 8x3y3 = 0 Solving 8000 + 8x3y3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8000' to each side of the equation. 8000 + -8000 + 8x3y3 = 0 + -8000 Combine like terms: 8000 + -8000 = 0 0 + 8x3y3 = 0 + -8000 8x3y3 = 0 + -8000 Combine like terms: 0 + -8000 = -8000 8x3y3 = -8000 Divide each side by '8y3'. x3 = -1000y-3 Simplifying x3 = -1000y-3 Combine like terms: -1000y-3 + 1000y-3 = 0 x3 + 1000y-3 = 0 Factor out the Greatest Common Factor (GCF), 'y-3'. y-3(x3y3 + 1000) = 0Subproblem 1
Set the factor 'y-3' equal to zero and attempt to solve: Simplifying y-3 = 0 Solving y-3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-3' to each side of the equation. y-3 + -1y-3 = 0 + -1y-3 Remove the zero: 0 = -1y-3 Simplifying 0 = -1y-3 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 '(x3y3 + 1000)' equal to zero and attempt to solve: Simplifying x3y3 + 1000 = 0 Reorder the terms: 1000 + x3y3 = 0 Solving 1000 + x3y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1000' to each side of the equation. 1000 + -1000 + x3y3 = 0 + -1000 Combine like terms: 1000 + -1000 = 0 0 + x3y3 = 0 + -1000 x3y3 = 0 + -1000 Combine like terms: 0 + -1000 = -1000 x3y3 = -1000 Divide each side by 'y3'. x3 = -1000y-3 Simplifying x3 = -1000y-3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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