a*x*4+b*x*3+c*x*2+d*x+e=0

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Solution for a*x*4+b*x*3+c*x*2+d*x+e=0 equation: 


Simplifying
a * x * 4 + b * x * 3 + c * x * 2 + d * x + e = 0

Reorder the terms for easier multiplication:
4a * x + b * x * 3 + c * x * 2 + d * x + e = 0

Multiply a * x
4ax + b * x * 3 + c * x * 2 + d * x + e = 0

Reorder the terms for easier multiplication:
4ax + 3b * x + c * x * 2 + d * x + e = 0

Multiply b * x
4ax + 3bx + c * x * 2 + d * x + e = 0

Reorder the terms for easier multiplication:
4ax + 3bx + 2c * x + d * x + e = 0

Multiply c * x
4ax + 3bx + 2cx + d * x + e = 0

Multiply d * x
4ax + 3bx + 2cx + dx + e = 0

Solving
4ax + 3bx + 2cx + dx + e = 0

Solving for variable 'a'.

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

Add '-3bx' to each side of the equation.
4ax + 3bx + 2cx + dx + -3bx + e = 0 + -3bx

Reorder the terms:
4ax + 3bx + -3bx + 2cx + dx + e = 0 + -3bx

Combine like terms: 3bx + -3bx = 0
4ax + 0 + 2cx + dx + e = 0 + -3bx
4ax + 2cx + dx + e = 0 + -3bx
Remove the zero:
4ax + 2cx + dx + e = -3bx

Add '-2cx' to each side of the equation.
4ax + 2cx + dx + -2cx + e = -3bx + -2cx

Reorder the terms:
4ax + 2cx + -2cx + dx + e = -3bx + -2cx

Combine like terms: 2cx + -2cx = 0
4ax + 0 + dx + e = -3bx + -2cx
4ax + dx + e = -3bx + -2cx

Add '-1dx' to each side of the equation.
4ax + dx + -1dx + e = -3bx + -2cx + -1dx

Combine like terms: dx + -1dx = 0
4ax + 0 + e = -3bx + -2cx + -1dx
4ax + e = -3bx + -2cx + -1dx

Add '-1e' to each side of the equation.
4ax + e + -1e = -3bx + -2cx + -1dx + -1e

Combine like terms: e + -1e = 0
4ax + 0 = -3bx + -2cx + -1dx + -1e
4ax = -3bx + -2cx + -1dx + -1e

Divide each side by '4x'.
a = -0.75b + -0.5c + -0.25d + -0.25ex-1

Simplifying
a = -0.75b + -0.5c + -0.25d + -0.25ex-1

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