Question
Solve the equation
x1=−1763×175,x2=0,x3=1763×175
Alternative Form
x1≈−0.748937,x2=0,x3≈0.748937
Evaluate
12x×10=5x×136x6
Multiply the terms
120x=5x×136x6
Multiply
More Steps

Evaluate
5x×136x6
Multiply the terms
680x×x6
Multiply the terms with the same base by adding their exponents
680x1+6
Add the numbers
680x7
120x=680x7
Add or subtract both sides
120x−680x7=0
Factor the expression
40x(3−17x6)=0
Divide both sides
x(3−17x6)=0
Separate the equation into 2 possible cases
x=03−17x6=0
Solve the equation
More Steps

Evaluate
3−17x6=0
Move the constant to the right-hand side and change its sign
−17x6=0−3
Removing 0 doesn't change the value,so remove it from the expression
−17x6=−3
Change the signs on both sides of the equation
17x6=3
Divide both sides
1717x6=173
Divide the numbers
x6=173
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6173
Simplify the expression
More Steps

Evaluate
6173
To take a root of a fraction,take the root of the numerator and denominator separately
61763
Multiply by the Conjugate
617×617563×6175
The product of roots with the same index is equal to the root of the product
617×617563×175
Multiply the numbers
1763×175
x=±1763×175
Separate the equation into 2 possible cases
x=1763×175x=−1763×175
x=0x=1763×175x=−1763×175
Solution
x1=−1763×175,x2=0,x3=1763×175
Alternative Form
x1≈−0.748937,x2=0,x3≈0.748937
Show Solution
