4x^2+x(x-8)=0

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Solution for 4x^2+x(x-8)=0 equation: 


Simplifying
4x2 + x(x + -8) = 0

Reorder the terms:
4x2 + x(-8 + x) = 0
4x2 + (-8 * x + x * x) = 0
4x2 + (-8x + x2) = 0

Reorder the terms:
-8x + 4x2 + x2 = 0

Combine like terms: 4x2 + x2 = 5x2
-8x + 5x2 = 0

Solving
-8x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + 5x) = 0


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 '(-8 + 5x)' equal to zero and attempt to solve:

Simplifying
-8 + 5x = 0

Solving
-8 + 5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 0 + 8
5x = 0 + 8

Combine like terms: 0 + 8 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {0, 1.6}

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