Final answer:
To write the equation in standard form, subtract 10x and 6 from both sides of the equation. The standard form of the equation is x² +2x-12=0.
Step-by-step explanation:
The given equation is x² +12x-6=10x+6. To write this equation in standard form and determine the values of a, b, and c, we need to rearrange the equation to have the form ax²+bx+c=0.
First, subtract 10x and 6 from both sides of the equation to get x² +2x-12=0. Now, the equation is in standard form, with a=1, b=2, and c=-12.
So, the standard form of the equation is x² +2x-12=0, and the values of a, b, and c are 1, 2, and -12 respectively.