(4x-2)*(x+2)*0.5=

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Solution for (4x-2)*(x+2)*0.5= equation: 


Simplifying
(4x + -2)(x + 2) * 0.5 = 0

Reorder the terms:
(-2 + 4x)(x + 2) * 0.5 = 0

Reorder the terms:
(-2 + 4x)(2 + x) * 0.5 = 0

Reorder the terms for easier multiplication:
0.5(-2 + 4x)(2 + x) = 0

Multiply (-2 + 4x) * (2 + x)
0.5(-2(2 + x) + 4x * (2 + x)) = 0
0.5((2 * -2 + x * -2) + 4x * (2 + x)) = 0
0.5((-4 + -2x) + 4x * (2 + x)) = 0
0.5(-4 + -2x + (2 * 4x + x * 4x)) = 0
0.5(-4 + -2x + (8x + 4x2)) = 0

Combine like terms: -2x + 8x = 6x
0.5(-4 + 6x + 4x2) = 0
(-4 * 0.5 + 6x * 0.5 + 4x2 * 0.5) = 0
(-2 + 3x + 2x2) = 0

Solving
-2 + 3x + 2x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
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
Solution
x = {-2, 0.5}

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