=x*x+35+5x

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Solution for =x*x+35+5x equation: 


Simplifying
0 = x * x + 35 + 5x

Multiply x * x
0 = x2 + 35 + 5x

Reorder the terms:
0 = 35 + 5x + x2

Solving
0 = 35 + 5x + x2

Solving for variable 'x'.

Combine like terms: 0 + -35 = -35
-35 + -5x + -1x2 = 35 + 5x + x2 + -35 + -5x + -1x2

Reorder the terms:
-35 + -5x + -1x2 = 35 + -35 + 5x + -5x + x2 + -1x2

Combine like terms: 35 + -35 = 0
-35 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2
-35 + -5x + -1x2 = 5x + -5x + x2 + -1x2

Combine like terms: 5x + -5x = 0
-35 + -5x + -1x2 = 0 + x2 + -1x2
-35 + -5x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-35 + -5x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(35 + 5x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(35 + 5x + x2)' equal to zero and attempt to solve:

Simplifying
35 + 5x + x2 = 0

Solving
35 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 5x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + 5x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 5x + x2 = 0 + -35
5x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
5x + x2 = -35

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -35 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -35 + 6.25

Combine like terms: -35 + 6.25 = -28.75
6.25 + 5x + x2 = -28.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -28.75

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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