Combine like terms:
x^2 + 3 - 8x^2 - 24 + 7 = 0
Simplify:
-7x^2 - 14 = 0
Rearrange:
-7x^2 = 14
Divide by -7:
x^2 = -2
Take the square root of both sides:
x = ±√(-2)
x = ±√2i
Therefore, the solutions to the equation (x^2+3)-8(x^2+3)+7=0 are x = √2i and x = -√2i.
Combine like terms:
x^2 + 3 - 8x^2 - 24 + 7 = 0
Simplify:
-7x^2 - 14 = 0
Rearrange:
-7x^2 = 14
Divide by -7:
x^2 = -2
Take the square root of both sides:
x = ±√(-2)
x = ±√2i
Therefore, the solutions to the equation (x^2+3)-8(x^2+3)+7=0 are x = √2i and x = -√2i.