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Simplifying 5y + 10x(40 + -1y) = 330 5y + (40 * 10x + -1y * 10x) = 330 5y + (400x + -10xy) = 330 Reorder the terms: 400x + -10xy + 5y = 330 Solving 400x + -10xy + 5y = 330 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 400x + -10xy + 5y + -5y = 330 + -5y Combine like terms: 5y + -5y = 0 400x + -10xy + 0 = 330 + -5y 400x + -10xy = 330 + -5y Reorder the terms: -330 + 400x + -10xy + 5y = 330 + -5y + -330 + 5y Reorder the terms: -330 + 400x + -10xy + 5y = 330 + -330 + -5y + 5y Combine like terms: 330 + -330 = 0 -330 + 400x + -10xy + 5y = 0 + -5y + 5y -330 + 400x + -10xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -330 + 400x + -10xy + 5y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-66 + 80x + -2xy + y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-66 + 80x + -2xy + y)' equal to zero and attempt to solve: Simplifying -66 + 80x + -2xy + y = 0 Solving -66 + 80x + -2xy + y = 0 Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 80x + -2xy + 66 + y = 0 + 66 Reorder the terms: -66 + 66 + 80x + -2xy + y = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 80x + -2xy + y = 0 + 66 80x + -2xy + y = 0 + 66 Combine like terms: 0 + 66 = 66 80x + -2xy + y = 66 Add '-1y' to each side of the equation. 80x + -2xy + y + -1y = 66 + -1y Combine like terms: y + -1y = 0 80x + -2xy + 0 = 66 + -1y 80x + -2xy = 66 + -1y 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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