To solve for x, we need to isolate x on one side of the equation.
Starting with the equation:
x / (6x^2 + 3) = 6
First, multiply both sides by (6x^2 + 3) to get rid of the denominator:
x = 6(6x^2 + 3)
x = 36x^2 + 18
Now, we can rearrange the equation to form a quadratic equation by moving all terms to one side:
36x^2 - x + 18 = 0
This is a quadratic equation that you can solve using the quadratic formula:
x = (-(-1) ± √((-1)^2 - 43618)) / (2*36)x = (1 ± √(1 - 2592)) / 72x = (1 ± √(-2591)) / 72
Since the square root of -2591 is not a real number, this equation has no real solutions.
To solve for x, we need to isolate x on one side of the equation.
Starting with the equation:
x / (6x^2 + 3) = 6
First, multiply both sides by (6x^2 + 3) to get rid of the denominator:
x = 6(6x^2 + 3)
x = 36x^2 + 18
Now, we can rearrange the equation to form a quadratic equation by moving all terms to one side:
36x^2 - x + 18 = 0
This is a quadratic equation that you can solve using the quadratic formula:
x = (-(-1) ± √((-1)^2 - 43618)) / (2*36)
x = (1 ± √(1 - 2592)) / 72
x = (1 ± √(-2591)) / 72
Since the square root of -2591 is not a real number, this equation has no real solutions.