Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for 
u and simplify your answer.

(2)/(3)u=-14
Answer:

Solve for u u and simplify your answer.\newline23u=14 \frac{2}{3} u=-14 \newlineAnswer:

Full solution

Q. Solve for u u and simplify your answer.\newline23u=14 \frac{2}{3} u=-14 \newlineAnswer:
  1. Multiply by Reciprocal: To solve for uu, we need to isolate uu on one side of the equation. We start by multiplying both sides of the equation by the reciprocal of the fraction that is multiplied by uu, which is 32\frac{3}{2}.\newlineCalculation: Multiply both sides by 32\frac{3}{2} to get uu by itself.\newline(32)×(23)u=(32)×(14)\left(\frac{3}{2}\right) \times \left(\frac{2}{3}\right)u = \left(\frac{3}{2}\right) \times (-14)
  2. Simplify Equation: Now we simplify both sides of the equation. On the left side, the (32)(\frac{3}{2}) and (23)(\frac{2}{3}) cancel each other out, leaving us with just uu. On the right side, we multiply 32\frac{3}{2} by 14-14.\newlineCalculation: u=(32)×(14)=21u = (\frac{3}{2}) \times (-14) = -21

More problems from Find the roots of factored polynomials