2x(x+5)-5=4x-5

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Solution for 2x(x+5)-5=4x-5 equation: 


Simplifying
2x(x + 5) + -5 = 4x + -5

Reorder the terms:
2x(5 + x) + -5 = 4x + -5
(5 * 2x + x * 2x) + -5 = 4x + -5
(10x + 2x2) + -5 = 4x + -5

Reorder the terms:
-5 + 10x + 2x2 = 4x + -5

Reorder the terms:
-5 + 10x + 2x2 = -5 + 4x

Add '5' to each side of the equation.
-5 + 10x + 5 + 2x2 = -5 + 5 + 4x

Reorder the terms:
-5 + 5 + 10x + 2x2 = -5 + 5 + 4x

Combine like terms: -5 + 5 = 0
0 + 10x + 2x2 = -5 + 5 + 4x
10x + 2x2 = -5 + 5 + 4x

Combine like terms: -5 + 5 = 0
10x + 2x2 = 0 + 4x
10x + 2x2 = 4x

Solving
10x + 2x2 = 4x

Solving for variable 'x'.

Reorder the terms:
10x + -4x + 2x2 = 4x + -4x

Combine like terms: 10x + -4x = 6x
6x + 2x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(3 + x) = 0

Ignore the factor 2.

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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {0, -3}

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