3x^2+30x-17=-122

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Solution for 3x^2+30x-17=-122 equation: 


Simplifying
3x2 + 30x + -17 = -122

Reorder the terms:
-17 + 30x + 3x2 = -122

Solving
-17 + 30x + 3x2 = -122

Solving for variable 'x'.

Reorder the terms:
-17 + 122 + 30x + 3x2 = -122 + 122

Combine like terms: -17 + 122 = 105
105 + 30x + 3x2 = -122 + 122

Combine like terms: -122 + 122 = 0
105 + 30x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(35 + 10x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(35 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
35 + 10x + x2 = 0

Solving
35 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 10x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + 10x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 10x + x2 = 0 + -35
10x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
10x + x2 = -35

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -35 + 25

Reorder the terms:
25 + 10x + x2 = -35 + 25

Combine like terms: -35 + 25 = -10
25 + 10x + x2 = -10

Factor a perfect square on the left side:
(x + 5)(x + 5) = -10

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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