To solve the equation by factoring out the greatest common factor (GCF), first we need to find the GCF of 2x^2 and -14x.
The greatest common factor is 2x. We can factor it out:
2x^2 - 14x = 2x(x - 7)
Now we have factored the equation.
To find the solutions, we set each factor equal to zero:
2x = 0
x = 0
And
x - 7 = 0
x = 7
Therefore, the smaller solution is x = 0, and the larger solution is x = 7.
Solve the following quadratic equation by factoring out the greatest common factor (GCF): 2x^2 - 14x = 0
The smaller solution is x = _____, and the larger solution is z = ____.
3 answers
Rewrite the following quadratic equation in standard form and then solve by factoring out the GCF: 6x^2 - 22x.
The smaller solution is x = _____, and the larger solution is x = _____.
The smaller solution is x = _____, and the larger solution is x = _____.
To rewrite the equation in standard form, we need to make sure the quadratic term has the highest power by rearranging the terms.
The given equation is already in standard form: 6x^2 - 22x.
To solve the equation by factoring out the greatest common factor (GCF), we need to find the GCF of 6x^2 and -22x.
The greatest common factor is 2x. We can factor it out:
6x^2 - 22x = 2x(3x - 11)
Now we have factored the equation.
To find the solutions, we set each factor equal to zero:
2x = 0
x = 0
And
3x - 11 = 0
3x = 11
x = 11/3
Therefore, the smaller solution is x = 0, and the larger solution is x = 11/3.
The given equation is already in standard form: 6x^2 - 22x.
To solve the equation by factoring out the greatest common factor (GCF), we need to find the GCF of 6x^2 and -22x.
The greatest common factor is 2x. We can factor it out:
6x^2 - 22x = 2x(3x - 11)
Now we have factored the equation.
To find the solutions, we set each factor equal to zero:
2x = 0
x = 0
And
3x - 11 = 0
3x = 11
x = 11/3
Therefore, the smaller solution is x = 0, and the larger solution is x = 11/3.