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Simplifying (3xy + 4x2) + -1(2xy + 5x2) = 0 Remove parenthesis around (3xy + 4x2) 3xy + 4x2 + -1(2xy + 5x2) = 0 3xy + 4x2 + (2xy * -1 + 5x2 * -1) = 0 3xy + 4x2 + (-2xy + -5x2) = 0 Reorder the terms: 3xy + -2xy + 4x2 + -5x2 = 0 Combine like terms: 3xy + -2xy = 1xy 1xy + 4x2 + -5x2 = 0 Combine like terms: 4x2 + -5x2 = -1x2 1xy + -1x2 = 0 Solving 1xy + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(y + -1x) = 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 '(y + -1x)' equal to zero and attempt to solve: Simplifying y + -1x = 0 Reorder the terms: -1x + y = 0 Solving -1x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -1x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -1x + 0 = 0 + -1y -1x = 0 + -1y Remove the zero: -1x = -1y Divide each side by '-1'. x = y Simplifying x = ySolution
x = {0, y}
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