5x(x+2)=-130

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Solution for 5x(x+2)=-130 equation: 


Simplifying
5x(x + 2) = -130

Reorder the terms:
5x(2 + x) = -130
(2 * 5x + x * 5x) = -130
(10x + 5x2) = -130

Solving
10x + 5x2 = -130

Solving for variable 'x'.

Reorder the terms:
130 + 10x + 5x2 = -130 + 130

Combine like terms: -130 + 130 = 0
130 + 10x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(26 + 2x + x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(26 + 2x + x2)' equal to zero and attempt to solve:

Simplifying
26 + 2x + x2 = 0

Solving
26 + 2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + 2x + -26 + x2 = 0 + -26

Reorder the terms:
26 + -26 + 2x + x2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 2x + x2 = 0 + -26
2x + x2 = 0 + -26

Combine like terms: 0 + -26 = -26
2x + x2 = -26

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -26 + 1

Reorder the terms:
1 + 2x + x2 = -26 + 1

Combine like terms: -26 + 1 = -25
1 + 2x + x2 = -25

Factor a perfect square on the left side:
(x + 1)(x + 1) = -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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