Mathematics: Solve the equation by factoring: 6x-0.2x^2=0 Please ill give brainliest to the correct answer

Solve the equation by factoring: 6x-0.2x^2=0 Please

nia3378

07.04.2022

The solution to the quadratic equation:

$x=0,\:x=30$

Step-by-step explanation:

Given the equation

6x-0.2x^2=0

6x - 0.2x · x = 0

Factor out common term -x

-x (0.2x - 6) = 0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$x=0\quad \mathrm{or}\quad \:0.2x-6=0$

solving

0.2x-6=0

Multiply both sides by 10

$0.2x\cdot \:10-6\cdot \:10=0\cdot \:10$

Refine

2x-60=0

Add 60 to both sides

2x-60+60=0+60

Simplify

2x=60

Divide both sides by 2

$\frac{2x}{2}=\frac{60}{2}$

Simplify

x=30

Thus, the solution to the quadratic equation:

$x=0,\:x=30$

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