Question
Solve the equation
y1=−2030,y2=0,y3=2030
Alternative Form
y1≈−0.273861,y2=0,y3≈0.273861
Evaluate
8y3×5=3y
Multiply the terms
40y3=3y
Add or subtract both sides
40y3−3y=0
Factor the expression
y(40y2−3)=0
Separate the equation into 2 possible cases
y=040y2−3=0
Solve the equation
More Steps

Evaluate
40y2−3=0
Move the constant to the right-hand side and change its sign
40y2=0+3
Removing 0 doesn't change the value,so remove it from the expression
40y2=3
Divide both sides
4040y2=403
Divide the numbers
y2=403
Take the root of both sides of the equation and remember to use both positive and negative roots
y=±403
Simplify the expression
More Steps

Evaluate
403
To take a root of a fraction,take the root of the numerator and denominator separately
403
Simplify the radical expression
2103
Multiply by the Conjugate
210×103×10
Multiply the numbers
210×1030
Multiply the numbers
2030
y=±2030
Separate the equation into 2 possible cases
y=2030y=−2030
y=0y=2030y=−2030
Solution
y1=−2030,y2=0,y3=2030
Alternative Form
y1≈−0.273861,y2=0,y3≈0.273861
Show Solution
