a*x^2+6*x-3=0

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Solution for a*x^2+6*x-3=0 equation:


Simplifying
a * x2 + 6x + -3 = 0

Multiply a * x2
ax2 + 6x + -3 = 0

Reorder the terms:
-3 + ax2 + 6x = 0

Solving
-3 + ax2 + 6x = 0

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + ax2 + 3 + 6x = 0 + 3

Reorder the terms:
-3 + 3 + ax2 + 6x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + ax2 + 6x = 0 + 3
ax2 + 6x = 0 + 3

Combine like terms: 0 + 3 = 3
ax2 + 6x = 3

Add '-6x' to each side of the equation.
ax2 + 6x + -6x = 3 + -6x

Combine like terms: 6x + -6x = 0
ax2 + 0 = 3 + -6x
ax2 = 3 + -6x

Divide each side by 'x2'.
a = 3x-2 + -6x-1

Simplifying
a = 3x-2 + -6x-1

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