-7x(x)+4x-17=31-30x

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Solution for -7x(x)+4x-17=31-30x equation: 


Simplifying
-7x(x) + 4x + -17 = 31 + -30x

Multiply x * x
-7x2 + 4x + -17 = 31 + -30x

Reorder the terms:
-17 + 4x + -7x2 = 31 + -30x

Solving
-17 + 4x + -7x2 = 31 + -30x

Solving for variable 'x'.

Reorder the terms:
-17 + -31 + 4x + 30x + -7x2 = 31 + -30x + -31 + 30x

Combine like terms: -17 + -31 = -48
-48 + 4x + 30x + -7x2 = 31 + -30x + -31 + 30x

Combine like terms: 4x + 30x = 34x
-48 + 34x + -7x2 = 31 + -30x + -31 + 30x

Reorder the terms:
-48 + 34x + -7x2 = 31 + -31 + -30x + 30x

Combine like terms: 31 + -31 = 0
-48 + 34x + -7x2 = 0 + -30x + 30x
-48 + 34x + -7x2 = -30x + 30x

Combine like terms: -30x + 30x = 0
-48 + 34x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
6.857142857 + -4.857142857x + x2 = 0

Move the constant term to the right:

Add '-6.857142857' to each side of the equation.
6.857142857 + -4.857142857x + -6.857142857 + x2 = 0 + -6.857142857

Reorder the terms:
6.857142857 + -6.857142857 + -4.857142857x + x2 = 0 + -6.857142857

Combine like terms: 6.857142857 + -6.857142857 = 0.000000000
0.000000000 + -4.857142857x + x2 = 0 + -6.857142857
-4.857142857x + x2 = 0 + -6.857142857

Combine like terms: 0 + -6.857142857 = -6.857142857
-4.857142857x + x2 = -6.857142857

The x term is -4.857142857x.  Take half its coefficient (-2.428571429).
Square it (5.897959186) and add it to both sides.

Add '5.897959186' to each side of the equation.
-4.857142857x + 5.897959186 + x2 = -6.857142857 + 5.897959186

Reorder the terms:
5.897959186 + -4.857142857x + x2 = -6.857142857 + 5.897959186

Combine like terms: -6.857142857 + 5.897959186 = -0.959183671
5.897959186 + -4.857142857x + x2 = -0.959183671

Factor a perfect square on the left side:
(x + -2.428571429)(x + -2.428571429) = -0.959183671

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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