Question

7х^2=42х Хелп ми плиз

Answer 1

7x^2-42x=0
X(7x-42)=0
Х1=0
7х=42
Х=42:7
Х=6

Answer 2

To solve the equation 7x^2 = 42x, we need to find the value(s) of x that make the equation true. To do that, we can start by simplifying the equation and then finding the solutions.

Step 1: Simplify the equation To begin, we can subtract 42x from both sides of the equation to get all terms on one side:

7x^2 - 42x = 0

Step 2: Factor out the common term Next, we can factor out the common term, which is x in this case:

x(7x - 42) = 0

Step 3: Set each factor equal to zero Now, we have two factors, and we set each of them equal to zero to find the possible solutions:

1. x = 0
2. 7x - 42 = 0

Step 4: Solve for x in the second equation Let's solve the second equation:

7x - 42 = 0

Add 42 to both sides:

7x = 42

Divide both sides by 7:

x = 42 / 7

x = 6

Step 5: Final solutions We have two solutions for x:

1. x = 0
2. x = 6

Now, we have found the values of x that satisfy the original equation 7x^2 = 42x, which are x = 0 and x = 6.