(x-7)x^2-(x-y)10x=0

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Solution for (x-7)x^2-(x-y)10x=0 equation:


Simplifying
(x + -7) * x2 + -1(x + -1y) * 10x = 0

Reorder the terms:
(-7 + x) * x2 + -1(x + -1y) * 10x = 0

Reorder the terms for easier multiplication:
x2(-7 + x) + -1(x + -1y) * 10x = 0
(-7 * x2 + x * x2) + -1(x + -1y) * 10x = 0
(-7x2 + x3) + -1(x + -1y) * 10x = 0

Reorder the terms for easier multiplication:
-7x2 + x3 + -1 * 10x(x + -1y) = 0

Multiply -1 * 10
-7x2 + x3 + -10x(x + -1y) = 0
-7x2 + x3 + (x * -10x + -1y * -10x) = 0

Reorder the terms:
-7x2 + x3 + (10xy + -10x2) = 0
-7x2 + x3 + (10xy + -10x2) = 0

Reorder the terms:
10xy + -7x2 + -10x2 + x3 = 0

Combine like terms: -7x2 + -10x2 = -17x2
10xy + -17x2 + x3 = 0

Solving
10xy + -17x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(10y + -17x + x2) = 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 '(10y + -17x + x2)' equal to zero and attempt to solve: Simplifying 10y + -17x + x2 = 0 Reorder the terms: -17x + x2 + 10y = 0 Solving -17x + x2 + 10y = 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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