4+8x=(2x)(4x+2)

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Solution for 4+8x=(2x)(4x+2) equation: 


Simplifying
4 + 8x = (2x)(4x + 2)

Remove parenthesis around (2x)
4 + 8x = 2x(4x + 2)

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

Solving
4 + 8x = 4x + 8x2

Solving for variable 'x'.

Combine like terms: 8x + -4x = 4x
4 + 4x + -8x2 = 4x + 8x2 + -4x + -8x2

Reorder the terms:
4 + 4x + -8x2 = 4x + -4x + 8x2 + -8x2

Combine like terms: 4x + -4x = 0
4 + 4x + -8x2 = 0 + 8x2 + -8x2
4 + 4x + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
4 + 4x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + x + -2x2) = 0

Factor a trinomial.
4((1 + -1x)(1 + 2x)) = 0

Ignore the factor 4.

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

Simplifying
1 + -1x = 0

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

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

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

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

Simplifying
x = 1

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 = {1, -0.5}

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