35a^3bc^2-45a^2b^2c=0

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Solution for 35a^3bc^2-45a^2b^2c=0 equation:


Simplifying
35a3bc2 + -45a2b2c = 0

Reorder the terms:
-45a2b2c + 35a3bc2 = 0

Solving
-45a2b2c + 35a3bc2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a2bc'.
5a2bc(-9b + 7ac) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a2bc' equal to zero and attempt to solve: Simplifying a2bc = 0 Solving a2bc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2bc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-9b + 7ac)' equal to zero and attempt to solve: Simplifying -9b + 7ac = 0 Reorder the terms: 7ac + -9b = 0 Solving 7ac + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. 7ac + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 7ac + 0 = 0 + 9b 7ac = 0 + 9b Remove the zero: 7ac = 9b Divide each side by '7c'. a = 1.285714286bc-1 Simplifying a = 1.285714286bc-1

Solution

a = {1.285714286bc-1}

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