ax^2+2x-1=6

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Solution for ax^2+2x-1=6 equation:


Simplifying
ax2 + 2x + -1 = 6

Reorder the terms:
-1 + ax2 + 2x = 6

Solving
-1 + ax2 + 2x = 6

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + ax2 + 1 + 2x = 6 + 1

Reorder the terms:
-1 + 1 + ax2 + 2x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + ax2 + 2x = 6 + 1
ax2 + 2x = 6 + 1

Combine like terms: 6 + 1 = 7
ax2 + 2x = 7

Add '-2x' to each side of the equation.
ax2 + 2x + -2x = 7 + -2x

Combine like terms: 2x + -2x = 0
ax2 + 0 = 7 + -2x
ax2 = 7 + -2x

Divide each side by 'x2'.
a = 7x-2 + -2x-1

Simplifying
a = 7x-2 + -2x-1

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