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Simplifying 14xy + -7x2 + 5x = 0 Reorder the terms: 5x + 14xy + -7x2 = 0 Solving 5x + 14xy + -7x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(5 + 14y + -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 '(5 + 14y + -7x)' equal to zero and attempt to solve: Simplifying 5 + 14y + -7x = 0 Reorder the terms: 5 + -7x + 14y = 0 Solving 5 + -7x + 14y = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -7x + -5 + 14y = 0 + -5 Reorder the terms: 5 + -5 + -7x + 14y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x + 14y = 0 + -5 -7x + 14y = 0 + -5 Combine like terms: 0 + -5 = -5 -7x + 14y = -5 Add '-14y' to each side of the equation. -7x + 14y + -14y = -5 + -14y Combine like terms: 14y + -14y = 0 -7x + 0 = -5 + -14y -7x = -5 + -14y Divide each side by '-7'. x = 0.7142857143 + 2y Simplifying x = 0.7142857143 + 2ySolution
x = {0, 0.7142857143 + 2y}
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