Final answer:
To solve the equation x²+6x=7, we need to isolate the variable x by moving all other terms to one side of the equation and finding the number to add to both sides. We can use the quadratic formula to solve the equation.
Step-by-step explanation:
To solve the equation x²+6x=7, we need to isolate the variable x by moving all other terms to the other side of the equation. To do that, we can subtract 7 from both sides of the equation:
x²+6x-7 = 0
Now, the equation is in the form ax²+bx+c=0, where a=1, b=6, and c=-7. To find the number to add to both sides, we can use the quadratic formula:
x = (-b ± √(b²-4ac))/(2a)
Plugging in the values, we get:
x = (-6 ± √((6)²-4(1)(-7)))/(2(1))
Simplifying further will give us the two solutions for x.