4*(x+2)-8=8x^2

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


Simplifying
4(x + 2) + -8 = 8x2

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

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

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

Solving
4x = 8x2

Solving for variable 'x'.

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

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

Ignore the factor 4.

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 '(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 = {0, 0.5}

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