Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−25
Alternative Form
x=−2.5
Evaluate
(x+10)2=(5−x)2
Raise both sides of the equation to the reciprocal of the exponent
((x+10)2)21=((5−x)2)21
Evaluate the power
∣x+10∣=∣5−x∣
Evaluate
x+10=5−xx+10=−(5−x)
Calculate
More Steps
Evaluate
x+10=5−x
Move the expression to the left side
x+10+x=5
Move the expression to the right side
x+x=5−10
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=5−10
Add and subtract
2x=−5
Divide both sides
22x=2−5
Divide the numbers
x=2−5
Use b−a=−ba=−ba to rewrite the fraction
x=−25
x=−25x+10=−(5−x)
Calculate
More Steps
Evaluate
x+10=−(5−x)
Calculate
x+10=−5+x
Cancel equal terms on both sides of the expression
10=−5
The statement is false for any value of x
x∈∅
x=−25x∈∅
Solution
x=−25
Alternative Form
x=−2.5
Show Solution
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