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Simplifying 20x(-25 + -5y) + -10y = 5 (-25 * 20x + -5y * 20x) + -10y = 5 (-500x + -100xy) + -10y = 5 Solving -500x + -100xy + -10y = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. -500x + -100xy + -10y + 10y = 5 + 10y Combine like terms: -10y + 10y = 0 -500x + -100xy + 0 = 5 + 10y -500x + -100xy = 5 + 10y Reorder the terms: -5 + -500x + -100xy + -10y = 5 + 10y + -5 + -10y Reorder the terms: -5 + -500x + -100xy + -10y = 5 + -5 + 10y + -10y Combine like terms: 5 + -5 = 0 -5 + -500x + -100xy + -10y = 0 + 10y + -10y -5 + -500x + -100xy + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 -5 + -500x + -100xy + -10y = 0 Factor out the Greatest Common Factor (GCF), '-5'. -5(1 + 100x + 20xy + 2y) = 0 Ignore the factor -5.Subproblem 1
Set the factor '(1 + 100x + 20xy + 2y)' equal to zero and attempt to solve: Simplifying 1 + 100x + 20xy + 2y = 0 Solving 1 + 100x + 20xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 100x + 20xy + -1 + 2y = 0 + -1 Reorder the terms: 1 + -1 + 100x + 20xy + 2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 100x + 20xy + 2y = 0 + -1 100x + 20xy + 2y = 0 + -1 Combine like terms: 0 + -1 = -1 100x + 20xy + 2y = -1 Add '-2y' to each side of the equation. 100x + 20xy + 2y + -2y = -1 + -2y Combine like terms: 2y + -2y = 0 100x + 20xy + 0 = -1 + -2y 100x + 20xy = -1 + -2y 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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