How would you rewrite the expression 6x+18x2 by factoring out the GCF?
To rewrite the expression 6x + 18x^2 by factoring out the greatest common factor (GCF), we first need to find the common factor between the two terms. The common factor between 6x and 18x^2 is 6x.
So, we can rewrite the expression as:
6x(1 + 3x)
Solve for x .
7(4x−15)=63
To solve for x in the equation 7(4x - 15) = 63, first distribute the 7 on the left side of the equation:
28x - 105 = 63
Next, add 105 to both sides of the equation:
28x = 168
Finally, divide both sides by 28 to solve for x:
x = 168/28
x = 6
Therefore, the solution to the equation 7(4x - 15) = 63 is x = 6.
Solve for x : −2(3x−15)−25=35 .
To solve for x in the equation -2(3x - 15) - 25 = 35, first distribute the -2 on the left side of the equation:
-6x + 30 - 25 = 35
Combine like terms:
-6x + 5 = 35
Subtract 5 from both sides:
-6x = 30
Divide both sides by -6:
x = -5
Therefore, the solution to the equation -2(3x - 15) - 25 = 35 is x = -5.
Solve for x : 12x+5=10x−11 .
To solve for x in the equation 12x + 5 = 10x - 11, first we should get x on one side of the equation:
12x + 5 = 10x - 11
Subtract 10x from both sides:
12x - 10x + 5 = - 11
2x + 5 = - 11
Now, subtract 5 from both sides to isolate the variable term:
2x = - 16
Finally, divide by 2 to solve for x:
x = - 8
Therefore, the solution to the equation 12x + 5 = 10x - 11 is x = - 8.