30x^2+175x+245=35x

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Solution for 30x^2+175x+245=35x equation: 


Simplifying
30x2 + 175x + 245 = 35x

Reorder the terms:
245 + 175x + 30x2 = 35x

Solving
245 + 175x + 30x2 = 35x

Solving for variable 'x'.

Reorder the terms:
245 + 175x + -35x + 30x2 = 35x + -35x

Combine like terms: 175x + -35x = 140x
245 + 140x + 30x2 = 35x + -35x

Combine like terms: 35x + -35x = 0
245 + 140x + 30x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(49 + 28x + 6x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(49 + 28x + 6x2)' equal to zero and attempt to solve:

Simplifying
49 + 28x + 6x2 = 0

Solving
49 + 28x + 6x2 = 0

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

Divide each side by '6'.
8.166666667 + 4.666666667x + x2 = 0

Move the constant term to the right:

Add '-8.166666667' to each side of the equation.
8.166666667 + 4.666666667x + -8.166666667 + x2 = 0 + -8.166666667

Reorder the terms:
8.166666667 + -8.166666667 + 4.666666667x + x2 = 0 + -8.166666667

Combine like terms: 8.166666667 + -8.166666667 = 0.000000000
0.000000000 + 4.666666667x + x2 = 0 + -8.166666667
4.666666667x + x2 = 0 + -8.166666667

Combine like terms: 0 + -8.166666667 = -8.166666667
4.666666667x + x2 = -8.166666667

The x term is 4.666666667x.  Take half its coefficient (2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
4.666666667x + 5.444444448 + x2 = -8.166666667 + 5.444444448

Reorder the terms:
5.444444448 + 4.666666667x + x2 = -8.166666667 + 5.444444448

Combine like terms: -8.166666667 + 5.444444448 = -2.722222219
5.444444448 + 4.666666667x + x2 = -2.722222219

Factor a perfect square on the left side:
(x + 2.333333334)(x + 2.333333334) = -2.722222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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