8x(x*3+2x*2+x)+4x(x*2-x+4)=

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Solution for 8x(x*3+2x*2+x)+4x(x*2-x+4)= equation: 


Simplifying
8x(x * 3 + 2x * 2 + x) + 4x(x * 2 + -1x + 4) = 0

Reorder the terms for easier multiplication:
8x(3x + 2x * 2 + x) + 4x(x * 2 + -1x + 4) = 0

Reorder the terms for easier multiplication:
8x(3x + 2 * 2x + x) + 4x(x * 2 + -1x + 4) = 0

Multiply 2 * 2
8x(3x + 4x + x) + 4x(x * 2 + -1x + 4) = 0

Combine like terms: 3x + 4x = 7x
8x(7x + x) + 4x(x * 2 + -1x + 4) = 0

Combine like terms: 7x + x = 8x
8x(8x) + 4x(x * 2 + -1x + 4) = 0

Remove parenthesis around (8x)
8x * 8x + 4x(x * 2 + -1x + 4) = 0

Reorder the terms for easier multiplication:
8 * 8x * x + 4x(x * 2 + -1x + 4) = 0

Multiply 8 * 8
64x * x + 4x(x * 2 + -1x + 4) = 0

Multiply x * x
64x2 + 4x(x * 2 + -1x + 4) = 0

Reorder the terms for easier multiplication:
64x2 + 4x(2x + -1x + 4) = 0

Reorder the terms:
64x2 + 4x(4 + 2x + -1x) = 0

Combine like terms: 2x + -1x = 1x
64x2 + 4x(4 + 1x) = 0
64x2 + (4 * 4x + 1x * 4x) = 0
64x2 + (16x + 4x2) = 0

Reorder the terms:
16x + 64x2 + 4x2 = 0

Combine like terms: 64x2 + 4x2 = 68x2
16x + 68x2 = 0

Solving
16x + 68x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(4 + 17x) = 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 '(4 + 17x)' equal to zero and attempt to solve:

Simplifying
4 + 17x = 0

Solving
4 + 17x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 17x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 17x = 0 + -4
17x = 0 + -4

Combine like terms: 0 + -4 = -4
17x = -4

Divide each side by '17'.
x = -0.2352941176

Simplifying
x = -0.2352941176
Solution
x = {0, -0.2352941176}

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