Question
Solve the equation
x1=−9011,x2=9029
Alternative Form
x1=−0.12˙,x2=0.32˙
Evaluate
9x−109=2
Separate the equation into 2 possible cases
9x−109=29x−109=−2
Solve the equation for x
More Steps

Evaluate
9x−109=2
Move the constant to the right-hand side and change its sign
9x=2+109
Add the numbers
More Steps

Evaluate
2+109
Reduce fractions to a common denominator
102×10+109
Write all numerators above the common denominator
102×10+9
Multiply the numbers
1020+9
Add the numbers
1029
9x=1029
Multiply by the reciprocal
9x×91=1029×91
Multiply
x=1029×91
Multiply
More Steps

Evaluate
1029×91
To multiply the fractions,multiply the numerators and denominators separately
10×929
Multiply the numbers
9029
x=9029
x=90299x−109=−2
Solve the equation for x
More Steps

Evaluate
9x−109=−2
Move the constant to the right-hand side and change its sign
9x=−2+109
Add the numbers
More Steps

Evaluate
−2+109
Reduce fractions to a common denominator
−102×10+109
Write all numerators above the common denominator
10−2×10+9
Multiply the numbers
10−20+9
Add the numbers
10−11
Use b−a=−ba=−ba to rewrite the fraction
−1011
9x=−1011
Multiply by the reciprocal
9x×91=−1011×91
Multiply
x=−1011×91
Multiply
More Steps

Evaluate
−1011×91
To multiply the fractions,multiply the numerators and denominators separately
−10×911
Multiply the numbers
−9011
x=−9011
x=9029x=−9011
Solution
x1=−9011,x2=9029
Alternative Form
x1=−0.12˙,x2=0.32˙
Show Solution
