4x^2+(m-1)x+1=0

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Solution for 4x^2+(m-1)x+1=0 equation:


Simplifying
4x2 + (m + -1) * x + 1 = 0

Reorder the terms:
4x2 + (-1 + m) * x + 1 = 0

Reorder the terms for easier multiplication:
4x2 + x(-1 + m) + 1 = 0
4x2 + (-1 * x + m * x) + 1 = 0

Reorder the terms:
4x2 + (mx + -1x) + 1 = 0
4x2 + (mx + -1x) + 1 = 0

Reorder the terms:
1 + mx + -1x + 4x2 = 0

Solving
1 + mx + -1x + 4x2 = 0

Solving for variable 'm'.

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

Add '-1' to each side of the equation.
1 + mx + -1x + -1 + 4x2 = 0 + -1

Reorder the terms:
1 + -1 + mx + -1x + 4x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + mx + -1x + 4x2 = 0 + -1
mx + -1x + 4x2 = 0 + -1

Combine like terms: 0 + -1 = -1
mx + -1x + 4x2 = -1

Add 'x' to each side of the equation.
mx + -1x + x + 4x2 = -1 + x

Combine like terms: -1x + x = 0
mx + 0 + 4x2 = -1 + x
mx + 4x2 = -1 + x

Add '-4x2' to each side of the equation.
mx + 4x2 + -4x2 = -1 + x + -4x2

Combine like terms: 4x2 + -4x2 = 0
mx + 0 = -1 + x + -4x2
mx = -1 + x + -4x2

Divide each side by 'x'.
m = -1x-1 + 1 + -4x

Simplifying
m = -1x-1 + 1 + -4x

Reorder the terms:
m = 1 + -1x-1 + -4x

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