15a^2c^3+24a^2c^4d^2-10a^2c^3d=0

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Solution for 15a^2c^3+24a^2c^4d^2-10a^2c^3d=0 equation:


Simplifying
15a2c3 + 24a2c4d2 + -10a2c3d = 0

Reorder the terms:
15a2c3 + -10a2c3d + 24a2c4d2 = 0

Solving
15a2c3 + -10a2c3d + 24a2c4d2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'a2c3'.
a2c3(15 + -10d + 24cd2) = 0

Subproblem 1

Set the factor 'a2c3' equal to zero and attempt to solve: Simplifying a2c3 = 0 Solving a2c3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2c3 = 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 '(15 + -10d + 24cd2)' equal to zero and attempt to solve: Simplifying 15 + -10d + 24cd2 = 0 Reorder the terms: 15 + 24cd2 + -10d = 0 Solving 15 + 24cd2 + -10d = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 24cd2 + -15 + -10d = 0 + -15 Reorder the terms: 15 + -15 + 24cd2 + -10d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 24cd2 + -10d = 0 + -15 24cd2 + -10d = 0 + -15 Combine like terms: 0 + -15 = -15 24cd2 + -10d = -15 Add '-24cd2' to each side of the equation. 24cd2 + -24cd2 + -10d = -15 + -24cd2 Combine like terms: 24cd2 + -24cd2 = 0 0 + -10d = -15 + -24cd2 -10d = -15 + -24cd2 Add '10d' to each side of the equation. -10d + 10d = -15 + -24cd2 + 10d Combine like terms: -10d + 10d = 0 0 = -15 + -24cd2 + 10d Simplifying 0 = -15 + -24cd2 + 10d The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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