5a^2x^2+35a^2x+60a=0

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Solution for 5a^2x^2+35a^2x+60a=0 equation:


Simplifying
5a2x2 + 35a2x + 60a = 0

Reorder the terms:
60a + 35a2x + 5a2x2 = 0

Solving
60a + 35a2x + 5a2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '5a'.
5a(12 + 7ax + ax2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0

Subproblem 2

Set the factor '(12 + 7ax + ax2)' equal to zero and attempt to solve: Simplifying 12 + 7ax + ax2 = 0 Solving 12 + 7ax + ax2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7ax + -12 + ax2 = 0 + -12 Reorder the terms: 12 + -12 + 7ax + ax2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7ax + ax2 = 0 + -12 7ax + ax2 = 0 + -12 Combine like terms: 0 + -12 = -12 7ax + ax2 = -12 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

a = {0}

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