Question
Solve the equation
m1=−24360,m2=0,m3=24360
Alternative Form
m1≈−2.177939,m2=0,m3≈2.177939
Evaluate
32m5=m×15
Use the commutative property to reorder the terms
32m5=15m
Add or subtract both sides
32m5−15m=0
Factor the expression
m(32m4−15)=0
Separate the equation into 2 possible cases
m=032m4−15=0
Solve the equation
More Steps

Evaluate
32m4−15=0
Move the constant to the right-hand side and change its sign
32m4=0+15
Removing 0 doesn't change the value,so remove it from the expression
32m4=15
Multiply by the reciprocal
32m4×23=15×23
Multiply
m4=15×23
Multiply
More Steps

Evaluate
15×23
Multiply the numbers
215×3
Multiply the numbers
245
m4=245
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±4245
Simplify the expression
More Steps

Evaluate
4245
To take a root of a fraction,take the root of the numerator and denominator separately
42445
Multiply by the Conjugate
42×423445×423
Simplify
42×423445×48
Multiply the numbers
42×4234360
Multiply the numbers
24360
m=±24360
Separate the equation into 2 possible cases
m=24360m=−24360
m=0m=24360m=−24360
Solution
m1=−24360,m2=0,m3=24360
Alternative Form
m1≈−2.177939,m2=0,m3≈2.177939
Show Solution
