15x^2y-21xy-12x=0

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Solution for 15x^2y-21xy-12x=0 equation:


Simplifying
15x2y + -21xy + -12x = 0

Reorder the terms:
-12x + -21xy + 15x2y = 0

Solving
-12x + -21xy + 15x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-4 + -7y + 5xy) = 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 '(-4 + -7y + 5xy)' equal to zero and attempt to solve: Simplifying -4 + -7y + 5xy = 0 Reorder the terms: -4 + 5xy + -7y = 0 Solving -4 + 5xy + -7y = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 5xy + 4 + -7y = 0 + 4 Reorder the terms: -4 + 4 + 5xy + -7y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5xy + -7y = 0 + 4 5xy + -7y = 0 + 4 Combine like terms: 0 + 4 = 4 5xy + -7y = 4 Add '7y' to each side of the equation. 5xy + -7y + 7y = 4 + 7y Combine like terms: -7y + 7y = 0 5xy + 0 = 4 + 7y 5xy = 4 + 7y Divide each side by '5y'. x = 0.8y-1 + 1.4 Simplifying x = 0.8y-1 + 1.4 Reorder the terms: x = 1.4 + 0.8y-1

Solution

x = {0, 1.4 + 0.8y-1}

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