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Simplifying 3x2 + 7xy + -5x2 = 0 Reorder the terms: 7xy + 3x2 + -5x2 = 0 Combine like terms: 3x2 + -5x2 = -2x2 7xy + -2x2 = 0 Solving 7xy + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7y + -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 '(7y + -2x)' equal to zero and attempt to solve: Simplifying 7y + -2x = 0 Reorder the terms: -2x + 7y = 0 Solving -2x + 7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -2x + 7y + -7y = 0 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = 0 + -7y -2x = 0 + -7y Remove the zero: -2x = -7y Divide each side by '-2'. x = 3.5y Simplifying x = 3.5ySolution
x = {0, 3.5y}
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