x(5x-2)(7x-3)=xy

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Solution for x(5x-2)(7x-3)=xy equation:


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) = 0

Subproblem 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 = 0

Subproblem 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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