Question
Solve the equation
x1=−7043×703,x2=0,x3=7043×703
Alternative Form
x1≈−0.454994,x2=0,x3≈0.454994
Evaluate
12x2−56x6×5=0
Multiply the terms
12x2−280x6=0
Factor the expression
4x2(3−70x4)=0
Divide both sides
x2(3−70x4)=0
Separate the equation into 2 possible cases
x2=03−70x4=0
The only way a power can be 0 is when the base equals 0
x=03−70x4=0
Solve the equation
More Steps

Evaluate
3−70x4=0
Move the constant to the right-hand side and change its sign
−70x4=0−3
Removing 0 doesn't change the value,so remove it from the expression
−70x4=−3
Change the signs on both sides of the equation
70x4=3
Divide both sides
7070x4=703
Divide the numbers
x4=703
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4703
Simplify the expression
More Steps

Evaluate
4703
To take a root of a fraction,take the root of the numerator and denominator separately
47043
Multiply by the Conjugate
470×470343×4703
The product of roots with the same index is equal to the root of the product
470×470343×703
Multiply the numbers
7043×703
x=±7043×703
Separate the equation into 2 possible cases
x=7043×703x=−7043×703
x=0x=7043×703x=−7043×703
Solution
x1=−7043×703,x2=0,x3=7043×703
Alternative Form
x1≈−0.454994,x2=0,x3≈0.454994
Show Solution
