ax^2+x-6=0

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Solution for ax^2+x-6=0 equation:


Simplifying
ax2 + x + -6 = 0

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

Solving
-6 + ax2 + x = 0

Solving for variable 'a'.

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

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

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

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

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

Add '-1x' to each side of the equation.
ax2 + x + -1x = 6 + -1x

Combine like terms: x + -1x = 0
ax2 + 0 = 6 + -1x
ax2 = 6 + -1x

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

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

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