8x^2+6xy-5x^2=0

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Solution for 8x^2+6xy-5x^2=0 equation:


Simplifying
8x2 + 6xy + -5x2 = 0

Reorder the terms:
6xy + 8x2 + -5x2 = 0

Combine like terms: 8x2 + -5x2 = 3x2
6xy + 3x2 = 0

Solving
6xy + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2y + 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 '(2y + x)' equal to zero and attempt to solve: Simplifying 2y + x = 0 Reorder the terms: x + 2y = 0 Solving x + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 x + 0 = 0 + -2y x = 0 + -2y Remove the zero: x = -2y Simplifying x = -2y

Solution

x = {0, -2y}

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