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

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


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

Reorder the terms:
2x(2 + x) = -5(x + x + x + x + x)
(2 * 2x + x * 2x) = -5(x + x + x + x + x)
(4x + 2x2) = -5(x + x + x + x + x)

Combine like terms: x + x = 2x
4x + 2x2 = -5(2x + x + x + x)

Combine like terms: 2x + x = 3x
4x + 2x2 = -5(3x + x + x)

Combine like terms: 3x + x = 4x
4x + 2x2 = -5(4x + x)

Combine like terms: 4x + x = 5x
4x + 2x2 = -5(5x)

Remove parenthesis around (5x)
4x + 2x2 = -5 * 5x

Multiply -5 * 5
4x + 2x2 = -25x

Solving
4x + 2x2 = -25x

Solving for variable 'x'.

Reorder the terms:
4x + 25x + 2x2 = -25x + 25x

Combine like terms: 4x + 25x = 29x
29x + 2x2 = -25x + 25x

Combine like terms: -25x + 25x = 0
29x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(29 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(29 + 2x)' equal to zero and attempt to solve:

Simplifying
29 + 2x = 0

Solving
29 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-29' to each side of the equation.
29 + -29 + 2x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 2x = 0 + -29
2x = 0 + -29

Combine like terms: 0 + -29 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5
Solution
x = {0, -14.5}

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