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Simplifying 7x2 + 3xy + -4x = 0 Reorder the terms: -4x + 3xy + 7x2 = 0 Solving -4x + 3xy + 7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4 + 3y + 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 '(-4 + 3y + 7x)' equal to zero and attempt to solve: Simplifying -4 + 3y + 7x = 0 Reorder the terms: -4 + 7x + 3y = 0 Solving -4 + 7x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 7x + 4 + 3y = 0 + 4 Reorder the terms: -4 + 4 + 7x + 3y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7x + 3y = 0 + 4 7x + 3y = 0 + 4 Combine like terms: 0 + 4 = 4 7x + 3y = 4 Add '-3y' to each side of the equation. 7x + 3y + -3y = 4 + -3y Combine like terms: 3y + -3y = 0 7x + 0 = 4 + -3y 7x = 4 + -3y Divide each side by '7'. x = 0.5714285714 + -0.4285714286y Simplifying x = 0.5714285714 + -0.4285714286ySolution
x = {0, 0.5714285714 + -0.4285714286y}
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