Question
Solve the equation
t1=0,t2=155202500
Alternative Form
t1=0,t2≈0.767704
Evaluate
−8t=−3t5×10t
Multiply
More Steps

Evaluate
−3t5×10t
Multiply the terms
−30t5×t
Multiply the terms with the same base by adding their exponents
−30t5+1
Add the numbers
−30t6
−8t=−30t6
Add or subtract both sides
−8t−(−30t6)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8t+30t6=0
Factor the expression
2t(−4+15t5)=0
Divide both sides
t(−4+15t5)=0
Separate the equation into 2 possible cases
t=0−4+15t5=0
Solve the equation
More Steps

Evaluate
−4+15t5=0
Move the constant to the right-hand side and change its sign
15t5=0+4
Removing 0 doesn't change the value,so remove it from the expression
15t5=4
Divide both sides
1515t5=154
Divide the numbers
t5=154
Take the 5-th root on both sides of the equation
5t5=5154
Calculate
t=5154
Simplify the root
More Steps

Evaluate
5154
To take a root of a fraction,take the root of the numerator and denominator separately
51554
Multiply by the Conjugate
515×515454×5154
Simplify
515×515454×550625
Multiply the numbers
515×51545202500
Multiply the numbers
155202500
t=155202500
t=0t=155202500
Solution
t1=0,t2=155202500
Alternative Form
t1=0,t2≈0.767704
Show Solution
