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Simplifying 49x3 + -1xy2 = 0 Reorder the terms: -1xy2 + 49x3 = 0 Solving -1xy2 + 49x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-1y2 + 49x2) = 0 Factor a difference between two squares. x((y + 7x)(-1y + 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 '(y + 7x)' equal to zero and attempt to solve: Simplifying y + 7x = 0 Reorder the terms: 7x + y = 0 Solving 7x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 7x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 7x + 0 = 0 + -1y 7x = 0 + -1y Remove the zero: 7x = -1y Divide each side by '7'. x = -0.1428571429y Simplifying x = -0.1428571429ySubproblem 3
Set the factor '(-1y + 7x)' equal to zero and attempt to solve: Simplifying -1y + 7x = 0 Reorder the terms: 7x + -1y = 0 Solving 7x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 0 + y Combine like terms: -1y + y = 0 7x + 0 = 0 + y 7x = 0 + y Remove the zero: 7x = y Divide each side by '7'. x = 0.1428571429y Simplifying x = 0.1428571429ySolution
x = {0, -0.1428571429y, 0.1428571429y}
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