Final answer:
The solution to the linear equation 15x + 21 = 8 is x = -13/15. This is solved by first isolating the x term and then dividing both sides by the coefficient of x.
Step-by-step explanation:
The given equation is 15x + 21 = 8. To find the value of x, we need to solve for it. Subtract 21 from both sides of the equation to isolate the term with x:
15x + 21 - 21 = 8 - 21
15x = -13
Now, divide both sides of the equation by 15 to solve for x:
15x / 15 = -13 / 15
x = -13/15
No other solutions for x are possible given it is a linear equation, hence the only solution is x = -13/15
The original equation provided, x² +0.0211x -0.0211 = 0, is a quadratic equation and it could be solved using the quadratic formula. However, this is not related to the solution of the linear equation we were asked to solve.