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Simplifying 3x + 6y = 30andx + 6y Add '-6y' to each side of the equation. 3x + 6y + -6y = 30adnx + 6y + -6y Combine like terms: 6y + -6y = 0 3x + 0 = 30adnx + 6y + -6y 3x = 30adnx + 6y + -6y Combine like terms: 6y + -6y = 0 3x = 30adnx + 0 3x = 30adnx Solving 3x = 30adnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30adnx' to each side of the equation. -30adnx + 3x = 30adnx + -30adnx Combine like terms: 30adnx + -30adnx = 0 -30adnx + 3x = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-10adn + 1) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-10adn + 1)' equal to zero and attempt to solve: Simplifying -10adn + 1 = 0 Reorder the terms: 1 + -10adn = 0 Solving 1 + -10adn = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10adn = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10adn = 0 + -1 -10adn = 0 + -1 Combine like terms: 0 + -1 = -1 -10adn = -1 Add '10adn' to each side of the equation. -10adn + 10adn = -1 + 10adn Combine like terms: -10adn + 10adn = 0 0 = -1 + 10adn Simplifying 0 = -1 + 10adn The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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