ax^2+3x+5=0

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Solution for ax^2+3x+5=0 equation: 


Simplifying
ax2 + 3x + 5 = 0

Reorder the terms:
5 + ax2 + 3x = 0

Solving
5 + ax2 + 3x = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + ax2 + -5 + 3x = 0 + -5

Reorder the terms:
5 + -5 + ax2 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + ax2 + 3x = 0 + -5
ax2 + 3x = 0 + -5

Combine like terms: 0 + -5 = -5
ax2 + 3x = -5

Add '-3x' to each side of the equation.
ax2 + 3x + -3x = -5 + -3x

Combine like terms: 3x + -3x = 0
ax2 + 0 = -5 + -3x
ax2 = -5 + -3x

Divide each side by 'x2'.
a = -5x-2 + -3x-1

Simplifying
a = -5x-2 + -3x-1

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