5x^2-3xy-8x^2=0

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Solution for 5x^2-3xy-8x^2=0 equation:


Simplifying
5x2 + -3xy + -8x2 = 0

Reorder the terms:
-3xy + 5x2 + -8x2 = 0

Combine like terms: 5x2 + -8x2 = -3x2
-3xy + -3x2 = 0

Solving
-3xy + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3x'.
-3x(y + x) = 0

Ignore the factor -3.

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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 x + 0 = 0 + -1y x = 0 + -1y Remove the zero: x = -1y Simplifying x = -1y

Solution

x = {0, -1y}

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