5x+2x(x-4)=2x+3

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Solution for 5x+2x(x-4)=2x+3 equation: 


Simplifying
5x + 2x(x + -4) = 2x + 3

Reorder the terms:
5x + 2x(-4 + x) = 2x + 3
5x + (-4 * 2x + x * 2x) = 2x + 3
5x + (-8x + 2x2) = 2x + 3

Combine like terms: 5x + -8x = -3x
-3x + 2x2 = 2x + 3

Reorder the terms:
-3x + 2x2 = 3 + 2x

Solving
-3x + 2x2 = 3 + 2x

Solving for variable 'x'.

Reorder the terms:
-3 + -3x + -2x + 2x2 = 3 + 2x + -3 + -2x

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

Reorder the terms:
-3 + -5x + 2x2 = 3 + -3 + 2x + -2x

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

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

Factor a trinomial.
(-1 + -2x)(3 + -1x) = 0


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

Simplifying
-1 + -2x = 0

Solving
-1 + -2x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -2x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x = 0 + 1
-2x = 0 + 1

Combine like terms: 0 + 1 = 1
-2x = 1

Divide each side by '-2'.
x = -0.5

Simplifying
x = -0.5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.5, 3}

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