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Simplifying 0 = 7x2 + 9xy + -2x Reorder the terms: 0 = -2x + 9xy + 7x2 Solving 0 = -2x + 9xy + 7x2 Solving for variable 'x'. Remove the zero: 2x + -9xy + -7x2 = -2x + 9xy + 7x2 + 2x + -9xy + -7x2 Reorder the terms: 2x + -9xy + -7x2 = -2x + 2x + 9xy + -9xy + 7x2 + -7x2 Combine like terms: -2x + 2x = 0 2x + -9xy + -7x2 = 0 + 9xy + -9xy + 7x2 + -7x2 2x + -9xy + -7x2 = 9xy + -9xy + 7x2 + -7x2 Combine like terms: 9xy + -9xy = 0 2x + -9xy + -7x2 = 0 + 7x2 + -7x2 2x + -9xy + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 2x + -9xy + -7x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2 + -9y + -7x) = 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 '(2 + -9y + -7x)' equal to zero and attempt to solve: Simplifying 2 + -9y + -7x = 0 Reorder the terms: 2 + -7x + -9y = 0 Solving 2 + -7x + -9y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -7x + -2 + -9y = 0 + -2 Reorder the terms: 2 + -2 + -7x + -9y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x + -9y = 0 + -2 -7x + -9y = 0 + -2 Combine like terms: 0 + -2 = -2 -7x + -9y = -2 Add '9y' to each side of the equation. -7x + -9y + 9y = -2 + 9y Combine like terms: -9y + 9y = 0 -7x + 0 = -2 + 9y -7x = -2 + 9y Divide each side by '-7'. x = 0.2857142857 + -1.285714286y Simplifying x = 0.2857142857 + -1.285714286ySolution
x = {0, 0.2857142857 + -1.285714286y}
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