Question
Solve the equation
x=−215
Alternative Form
x=−7.5
Evaluate
(x+9)2=(x+6)2
Raise both sides of the equation to the reciprocal of the exponent
((x+9)2)21=((x+6)2)21
Evaluate the power
∣x+9∣=∣x+6∣
Evaluate
x+9=x+6x+9=−(x+6)
Calculate
More Steps

Evaluate
x+9=x+6
Cancel equal terms on both sides of the expression
9=6
The statement is false for any value of x
x∈∅
x∈∅x+9=−(x+6)
Calculate
More Steps

Evaluate
x+9=−(x+6)
Calculate
x+9=−x−6
Move the expression to the left side
x+9+x=−6
Move the expression to the right side
x+x=−6−9
Add and subtract
More Steps

Evaluate
x+x
Collect like terms by calculating the sum or difference of their coefficients
(1+1)x
Add the numbers
2x
2x=−6−9
Add and subtract
2x=−15
Divide both sides
22x=2−15
Divide the numbers
x=2−15
Use b−a=−ba=−ba to rewrite the fraction
x=−215
x∈∅x=−215
Solution
x=−215
Alternative Form
x=−7.5
Show Solution
