ax^2+4x+b=0

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Solution for ax^2+4x+b=0 equation:


Simplifying
ax2 + 4x + b = 0

Reorder the terms:
ax2 + b + 4x = 0

Solving
ax2 + b + 4x = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax2 + b + -1b + 4x = 0 + -1b

Combine like terms: b + -1b = 0
ax2 + 0 + 4x = 0 + -1b
ax2 + 4x = 0 + -1b
Remove the zero:
ax2 + 4x = -1b

Add '-4x' to each side of the equation.
ax2 + 4x + -4x = -1b + -4x

Combine like terms: 4x + -4x = 0
ax2 + 0 = -1b + -4x
ax2 = -1b + -4x

Divide each side by 'x2'.
a = -1bx-2 + -4x-1

Simplifying
a = -1bx-2 + -4x-1

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