To get this form, subtract the terms on the right-hand side from both sides:
3x2−14x=x2+12
3x2−14x−x2−12=x2+12−x2−12
Group similar terms:
(3x2−x2)−14x−12=(x2−x2)+(12−12)
Simplify the grouped terms:
2x2−14x−12=0
This equation is in standard form. But, we see a common factor of 2 in all of the terms. To simplify the equation further, divide the entire equation through by 2:
Answers & Comments
Answer:
Standard form looks like this:
ax2+bx+c=0
To get this form, subtract the terms on the right-hand side from both sides:
3x2−14x=x2+12
3x2−14x−x2−12=x2+12−x2−12
Group similar terms:
(3x2−x2)−14x−12=(x2−x2)+(12−12)
Simplify the grouped terms:
2x2−14x−12=0
This equation is in standard form. But, we see a common factor of 2 in all of the terms. To simplify the equation further, divide the entire equation through by 2:
x2−7x−6=0