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Simplifying 5x + 20y = -25forx Solving 5x + 20y = -25forx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25forx' to each side of the equation. 5x + 25forx + 20y = -25forx + 25forx Reorder the terms: 25forx + 5x + 20y = -25forx + 25forx Combine like terms: -25forx + 25forx = 0 25forx + 5x + 20y = 0 Add '-20y' to each side of the equation. 25forx + 5x + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 25forx + 5x + 0 = 0 + -20y 25forx + 5x = 0 + -20y Remove the zero: 25forx + 5x = -20y Combine like terms: -20y + 20y = 0 25forx + 5x + 20y = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5forx + x + 4y) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5forx + x + 4y)' equal to zero and attempt to solve: Simplifying 5forx + x + 4y = 0 Solving 5forx + x + 4y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 5forx + x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 5forx + x + 0 = 0 + -4y 5forx + x = 0 + -4y Remove the zero: 5forx + x = -4y 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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