3x^2+24x+50=4x+1

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Solution for 3x^2+24x+50=4x+1 equation:


Simplifying
3x2 + 24x + 50 = 4x + 1

Reorder the terms:
50 + 24x + 3x2 = 4x + 1

Reorder the terms:
50 + 24x + 3x2 = 1 + 4x

Solving
50 + 24x + 3x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
50 + -1 + 24x + -4x + 3x2 = 1 + 4x + -1 + -4x

Combine like terms: 50 + -1 = 49
49 + 24x + -4x + 3x2 = 1 + 4x + -1 + -4x

Combine like terms: 24x + -4x = 20x
49 + 20x + 3x2 = 1 + 4x + -1 + -4x

Reorder the terms:
49 + 20x + 3x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
49 + 20x + 3x2 = 0 + 4x + -4x
49 + 20x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
49 + 20x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
16.33333333 + 6.666666667x + x2 = 0

Move the constant term to the right:

Add '-16.33333333' to each side of the equation.
16.33333333 + 6.666666667x + -16.33333333 + x2 = 0 + -16.33333333

Reorder the terms:
16.33333333 + -16.33333333 + 6.666666667x + x2 = 0 + -16.33333333

Combine like terms: 16.33333333 + -16.33333333 = 0.00000000
0.00000000 + 6.666666667x + x2 = 0 + -16.33333333
6.666666667x + x2 = 0 + -16.33333333

Combine like terms: 0 + -16.33333333 = -16.33333333
6.666666667x + x2 = -16.33333333

The x term is 6.666666667x.  Take half its coefficient (3.333333334).
Square it (11.11111112) and add it to both sides.

Add '11.11111112' to each side of the equation.
6.666666667x + 11.11111112 + x2 = -16.33333333 + 11.11111112

Reorder the terms:
11.11111112 + 6.666666667x + x2 = -16.33333333 + 11.11111112

Combine like terms: -16.33333333 + 11.11111112 = -5.22222221
11.11111112 + 6.666666667x + x2 = -5.22222221

Factor a perfect square on the left side:
(x + 3.333333334)(x + 3.333333334) = -5.22222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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