ax^2+8x+(a-3)=0

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Solution for ax^2+8x+(a-3)=0 equation:


Simplifying
ax2 + 8x + (a + -3) = 0

Reorder the terms:
ax2 + 8x + (-3 + a) = 0

Remove parenthesis around (-3 + a)
ax2 + 8x + -3 + a = 0

Reorder the terms:
-3 + a + ax2 + 8x = 0

Solving
-3 + a + ax2 + 8x = 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 + a + ax2 + 3 + 8x = 0 + 3

Reorder the terms:
-3 + 3 + a + ax2 + 8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + a + ax2 + 8x = 0 + 3
a + ax2 + 8x = 0 + 3

Combine like terms: 0 + 3 = 3
a + ax2 + 8x = 3

Add '-8x' to each side of the equation.
a + ax2 + 8x + -8x = 3 + -8x

Combine like terms: 8x + -8x = 0
a + ax2 + 0 = 3 + -8x
a + ax2 = 3 + -8x

Reorder the terms:
-3 + a + ax2 + 8x = 3 + -8x + -3 + 8x

Reorder the terms:
-3 + a + ax2 + 8x = 3 + -3 + -8x + 8x

Combine like terms: 3 + -3 = 0
-3 + a + ax2 + 8x = 0 + -8x + 8x
-3 + a + ax2 + 8x = -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + a + ax2 + 8x = 0

The solution to this equation could not be determined.

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