(5x+10)(x+2)+125=0

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Solution for (5x+10)(x+2)+125=0 equation: 


Simplifying
(5x + 10)(x + 2) + 125 = 0

Reorder the terms:
(10 + 5x)(x + 2) + 125 = 0

Reorder the terms:
(10 + 5x)(2 + x) + 125 = 0

Multiply (10 + 5x) * (2 + x)
(10(2 + x) + 5x * (2 + x)) + 125 = 0
((2 * 10 + x * 10) + 5x * (2 + x)) + 125 = 0
((20 + 10x) + 5x * (2 + x)) + 125 = 0
(20 + 10x + (2 * 5x + x * 5x)) + 125 = 0
(20 + 10x + (10x + 5x2)) + 125 = 0

Combine like terms: 10x + 10x = 20x
(20 + 20x + 5x2) + 125 = 0

Reorder the terms:
20 + 125 + 20x + 5x2 = 0

Combine like terms: 20 + 125 = 145
145 + 20x + 5x2 = 0

Solving
145 + 20x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(29 + 4x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(29 + 4x + x2)' equal to zero and attempt to solve:

Simplifying
29 + 4x + x2 = 0

Solving
29 + 4x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 4x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 4x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 4x + x2 = 0 + -29
4x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
4x + x2 = -29

The x term is 4x.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4x + 4 + x2 = -29 + 4

Reorder the terms:
4 + 4x + x2 = -29 + 4

Combine like terms: -29 + 4 = -25
4 + 4x + x2 = -25

Factor a perfect square on the left side:
(x + 2)(x + 2) = -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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