Question
Solve the equation
x1=0,x2=3
Evaluate
−4x2(5x2×40)(x3−27)(x5)=0
Remove the parentheses
−4x2×5x2×40(x3−27)x5=0
Multiply
More Steps

Evaluate
−4x2×5x2×40(x3−27)x5
Multiply the terms
More Steps

Evaluate
4×5×40
Multiply the terms
20×40
Multiply the numbers
800
−800x2×x2(x3−27)x5
Multiply the terms with the same base by adding their exponents
−800x2+2+1(x3−27)5
Add the numbers
−800x5(x3−27)5
Calculate the product
−8005×x5(x3−27)
−8005×x5(x3−27)=0
Change the sign
8005×x5(x3−27)=0
Elimination the left coefficient
x5(x3−27)=0
Separate the equation into 2 possible cases
x5=0x3−27=0
The only way a power can be 0 is when the base equals 0
x=0x3−27=0
Solve the equation
More Steps

Evaluate
x3−27=0
Move the constant to the right-hand side and change its sign
x3=0+27
Removing 0 doesn't change the value,so remove it from the expression
x3=27
Take the 3-th root on both sides of the equation
3x3=327
Calculate
x=327
Evaluate the root
More Steps

Evaluate
327
Write the number in exponential form with the base of 3
333
Reduce the index of the radical and exponent with 3
3
x=3
x=0x=3
Solution
x1=0,x2=3
Show Solution
