15x^2+25xy-45xz=0

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Solution for 15x^2+25xy-45xz=0 equation:


Simplifying
15x2 + 25xy + -45xz = 0

Reorder the terms:
25xy + -45xz + 15x2 = 0

Solving
25xy + -45xz + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(5y + -9z + 3x) = 0

Ignore the factor 5.

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 '(5y + -9z + 3x)' equal to zero and attempt to solve: Simplifying 5y + -9z + 3x = 0 Reorder the terms: 3x + 5y + -9z = 0 Solving 3x + 5y + -9z = 0 Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 3x + 5y + -5y + -9z = 0 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -9z = 0 + -5y 3x + -9z = 0 + -5y Remove the zero: 3x + -9z = -5y Add '9z' to each side of the equation. 3x + -9z + 9z = -5y + 9z Combine like terms: -9z + 9z = 0 3x + 0 = -5y + 9z 3x = -5y + 9z Divide each side by '3'. x = -1.666666667y + 3z Simplifying x = -1.666666667y + 3z

Solution

x = {0, -1.666666667y + 3z}

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