4x+4-2x(x+1)=5x+4

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Solution for 4x+4-2x(x+1)=5x+4 equation: 


Simplifying
4x + 4 + -2x(x + 1) = 5x + 4

Reorder the terms:
4x + 4 + -2x(1 + x) = 5x + 4
4x + 4 + (1 * -2x + x * -2x) = 5x + 4
4x + 4 + (-2x + -2x2) = 5x + 4

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

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

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

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

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

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

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

Solving
2x + -2x2 = 5x

Solving for variable 'x'.

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

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

Combine like terms: 5x + -5x = 0
-3x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 2x) = 0

Ignore the factor -1.

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 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}

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