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Simplifying 3x2 + 6x + -7xy + -14xy = 0 Reorder the terms: 6x + -7xy + -14xy + 3x2 = 0 Combine like terms: -7xy + -14xy = -21xy 6x + -21xy + 3x2 = 0 Solving 6x + -21xy + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(2 + -7y + x) = 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 '(2 + -7y + x)' equal to zero and attempt to solve: Simplifying 2 + -7y + x = 0 Reorder the terms: 2 + x + -7y = 0 Solving 2 + x + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + x + -2 + -7y = 0 + -2 Reorder the terms: 2 + -2 + x + -7y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + -7y = 0 + -2 x + -7y = 0 + -2 Combine like terms: 0 + -2 = -2 x + -7y = -2 Add '7y' to each side of the equation. x + -7y + 7y = -2 + 7y Combine like terms: -7y + 7y = 0 x + 0 = -2 + 7y x = -2 + 7y Simplifying x = -2 + 7ySolution
x = {0, -2 + 7y}
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