40ax^2+24ax+32=0

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Solution for 40ax^2+24ax+32=0 equation:


Simplifying
40ax2 + 24ax + 32 = 0

Reorder the terms:
32 + 24ax + 40ax2 = 0

Solving
32 + 24ax + 40ax2 = 0

Solving for variable 'a'.

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

Add '-32' to each side of the equation.
32 + 24ax + -32 + 40ax2 = 0 + -32

Reorder the terms:
32 + -32 + 24ax + 40ax2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 24ax + 40ax2 = 0 + -32
24ax + 40ax2 = 0 + -32

Combine like terms: 0 + -32 = -32
24ax + 40ax2 = -32

Reorder the terms:
32 + 24ax + 40ax2 = -32 + 32

Combine like terms: -32 + 32 = 0
32 + 24ax + 40ax2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(4 + 3ax + 5ax2) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(4 + 3ax + 5ax2)' equal to zero and attempt to solve: Simplifying 4 + 3ax + 5ax2 = 0 Solving 4 + 3ax + 5ax2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3ax + -4 + 5ax2 = 0 + -4 Reorder the terms: 4 + -4 + 3ax + 5ax2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3ax + 5ax2 = 0 + -4 3ax + 5ax2 = 0 + -4 Combine like terms: 0 + -4 = -4 3ax + 5ax2 = -4 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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