5-2x(x+5)=30

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Solution for 5-2x(x+5)=30 equation: 


Simplifying
5 + -2x(x + 5) = 30

Reorder the terms:
5 + -2x(5 + x) = 30
5 + (5 * -2x + x * -2x) = 30
5 + (-10x + -2x2) = 30

Solving
5 + -10x + -2x2 = 30

Solving for variable 'x'.

Reorder the terms:
5 + -30 + -10x + -2x2 = 30 + -30

Combine like terms: 5 + -30 = -25
-25 + -10x + -2x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-25 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(25 + 10x + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(25 + 10x + 2x2)' equal to zero and attempt to solve:

Simplifying
25 + 10x + 2x2 = 0

Solving
25 + 10x + 2x2 = 0

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

Divide each side by '2'.
12.5 + 5x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + 5x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + 5x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 5x + x2 = 0 + -12.5
5x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
5x + x2 = -12.5

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 = -12.5 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -12.5 + 6.25

Combine like terms: -12.5 + 6.25 = -6.25
6.25 + 5x + x2 = -6.25

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -6.25

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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