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Simplifying x(5x + -2)(7x + -3) = xy Reorder the terms: x(-2 + 5x)(7x + -3) = xy Reorder the terms: x(-2 + 5x)(-3 + 7x) = xy Multiply (-2 + 5x) * (-3 + 7x) x(-2(-3 + 7x) + 5x * (-3 + 7x)) = xy x((-3 * -2 + 7x * -2) + 5x * (-3 + 7x)) = xy x((6 + -14x) + 5x * (-3 + 7x)) = xy x(6 + -14x + (-3 * 5x + 7x * 5x)) = xy x(6 + -14x + (-15x + 35x2)) = xy Combine like terms: -14x + -15x = -29x x(6 + -29x + 35x2) = xy (6 * x + -29x * x + 35x2 * x) = xy (6x + -29x2 + 35x3) = xy Solving 6x + -29x2 + 35x3 = xy Solving for variable 'x'. Reorder the terms: 6x + -1xy + -29x2 + 35x3 = xy + -1xy Combine like terms: xy + -1xy = 0 6x + -1xy + -29x2 + 35x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(6 + -1y + -29x + 35x2) = 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 '(6 + -1y + -29x + 35x2)' equal to zero and attempt to solve: Simplifying 6 + -1y + -29x + 35x2 = 0 Reorder the terms: 6 + -29x + 35x2 + -1y = 0 Solving 6 + -29x + 35x2 + -1y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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