Question
Solve the equation
x1=−45,x2=429
Alternative Form
x1=−1.25,x2=7.25
Evaluate
4∣x−3∣=17
Divide both sides
44∣x−3∣=417
Divide the numbers
∣x−3∣=417
Separate the equation into 2 possible cases
x−3=417x−3=−417
Solve the equation for x
More Steps

Evaluate
x−3=417
Move the constant to the right-hand side and change its sign
x=417+3
Add the numbers
More Steps

Evaluate
417+3
Reduce fractions to a common denominator
417+43×4
Write all numerators above the common denominator
417+3×4
Multiply the numbers
417+12
Add the numbers
429
x=429
x=429x−3=−417
Solve the equation for x
More Steps

Evaluate
x−3=−417
Move the constant to the right-hand side and change its sign
x=−417+3
Add the numbers
More Steps

Evaluate
−417+3
Reduce fractions to a common denominator
−417+43×4
Write all numerators above the common denominator
4−17+3×4
Multiply the numbers
4−17+12
Add the numbers
4−5
Use b−a=−ba=−ba to rewrite the fraction
−45
x=−45
x=429x=−45
Solution
x1=−45,x2=429
Alternative Form
x1=−1.25,x2=7.25
Show Solution
