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Simplifying 2x2 + -1xy + 37x = 0 Reorder the terms: 37x + -1xy + 2x2 = 0 Solving 37x + -1xy + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(37 + -1y + 2x) = 0Subproblem 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 '(37 + -1y + 2x)' equal to zero and attempt to solve: Simplifying 37 + -1y + 2x = 0 Reorder the terms: 37 + 2x + -1y = 0 Solving 37 + 2x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + 2x + -37 + -1y = 0 + -37 Reorder the terms: 37 + -37 + 2x + -1y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 2x + -1y = 0 + -37 2x + -1y = 0 + -37 Combine like terms: 0 + -37 = -37 2x + -1y = -37 Add 'y' to each side of the equation. 2x + -1y + y = -37 + y Combine like terms: -1y + y = 0 2x + 0 = -37 + y 2x = -37 + y Divide each side by '2'. x = -18.5 + 0.5y Simplifying x = -18.5 + 0.5ySolution
x = {0, -18.5 + 0.5y}
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