Final answer:
To find the value of x that satisfies the equation 2x - 7x - 5 = 0, rearrange the equation into a quadratic form and solve using the quadratic formula.
Step-by-step explanation:
To find the value of x that satisfies the equation 2x - 7x - 5 = 0, we rearrange the equation into a quadratic form: x^2 + 0.88x - 0.484 = 0.
Then, we can use the quadratic formula to solve for the value(s) of x:
x = (-0.88 ± √(0.88^2 - 4(1)(-0.484))) / (2(1))
Simplifying the equation gives x = -0.488 or x = 0.251.
Rounded to two decimal places, the values of x that satisfy the equation are x = -0.49 and x = 0.25.