[20(x*x)]-8x=0

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Solution for [20(x*x)]-8x=0 equation:


Simplifying
[20(x * x)] + -8x = 0

Multiply x * x
[20(x2)] + -8x = 0

Reorder the terms:
-8x + [20x2] = 0

Solving
-8x + [20x2] = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-2 + [5x]) = 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 '(-2 + [5x])' equal to zero and attempt to solve:

Simplifying
-2 + [5x] = 0

Solving
-2 + [5x] = 0

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

Add '2' to each side of the equation.
-2 + 2 + [5x] = 0 + 2

Combine like terms: -2 + 2 = 0
0 + [5x] = 0 + 2
[5x] = 0 + 2

Combine like terms: 0 + 2 = 2
[5x] = 2

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0, 0.4}

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