x=.05x(x+20)

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Solution for x=.05x(x+20) equation:


Simplifying
x = 0.05x(x + 20)

Reorder the terms:
x = 0.05x(20 + x)
x = (20 * 0.05x + x * 0.05x)
x = (1x + 0.05x2)

Solving
x = 1x + 0.05x2

Solving for variable 'x'.

Combine like terms: x + -1x = 0
0 + -0.05x2 = 1x + 0.05x2 + -1x + -0.05x2
-0.05x2 = 1x + 0.05x2 + -1x + -0.05x2

Reorder the terms:
-0.05x2 = 1x + -1x + 0.05x2 + -0.05x2

Combine like terms: 1x + -1x = 0
-0.05x2 = 0 + 0.05x2 + -0.05x2
-0.05x2 = 0.05x2 + -0.05x2

Combine like terms: 0.05x2 + -0.05x2 = 0.00
-0.05x2 = 0.00

Ignore the factor -0.05.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Solution

x = {0}

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