8x^2+5-4=2x^2-8x+1

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Solution for 8x^2+5-4=2x^2-8x+1 equation: 


Simplifying
8x2 + 5 + -4 = 2x2 + -8x + 1

Reorder the terms:
5 + -4 + 8x2 = 2x2 + -8x + 1

Combine like terms: 5 + -4 = 1
1 + 8x2 = 2x2 + -8x + 1

Reorder the terms:
1 + 8x2 = 1 + -8x + 2x2

Add '-1' to each side of the equation.
1 + -1 + 8x2 = 1 + -8x + -1 + 2x2

Combine like terms: 1 + -1 = 0
0 + 8x2 = 1 + -8x + -1 + 2x2
8x2 = 1 + -8x + -1 + 2x2

Reorder the terms:
8x2 = 1 + -1 + -8x + 2x2

Combine like terms: 1 + -1 = 0
8x2 = 0 + -8x + 2x2
8x2 = -8x + 2x2

Solving
8x2 = -8x + 2x2

Solving for variable 'x'.

Reorder the terms:
8x + 8x2 + -2x2 = -8x + 2x2 + 8x + -2x2

Combine like terms: 8x2 + -2x2 = 6x2
8x + 6x2 = -8x + 2x2 + 8x + -2x2

Reorder the terms:
8x + 6x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
8x + 6x2 = 0 + 2x2 + -2x2
8x + 6x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
8x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + 3x) = 0

Ignore the factor 2.

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 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 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 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -1.333333333}

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