Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for a
Solve for b
a=b−1ba=b
Evaluate
(a−b)ab=a2−b2
Multiply the terms
ab(a−b)=a2−b2
Rewrite the expression
ba(a−b)=a2−b2
Move the expression to the left side
ba(a−b)−(a2−b2)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
ba(a−b)−a2+b2=0
Calculate
More Steps
Evaluate
ba(a−b)
Apply the distributive property
ba×a−bab
Multiply the terms
ba2−bab
Multiply the terms
More Steps
Evaluate
b×b
Multiply the terms with the same base by adding their exponents
b1+1
Add the numbers
b2
ba2−b2a
ba2−b2a−a2+b2=0
Collect like terms by calculating the sum or difference of their coefficients
(b−1)a2−b2a+b2=0
Expand the expression
ba2−a2−b2a+b2=0
Factor the expression
More Steps
Evaluate
ba2−a2−b2a+b2
Calculate
−b2a+ba2+b2−ba+ba−a2
Rewrite the expression
−bab+ba×a+b×b−ba+ab−a×a
Factor out −ba from the expression
−ba(b−a)+b×b−ba+ab−a×a
Factor out b from the expression
−ba(b−a)+b(b−a)+ab−a×a
Factor out a from the expression
−ba(b−a)+b(b−a)+a(b−a)
Factor out b−a from the expression
(−ba+b+a)(b−a)
(−ba+b+a)(b−a)=0
When the product of factors equals 0,at least one factor is 0
−ba+b+a=0b−a=0
Solve the equation for a
More Steps
Evaluate
−ba+b+a=0
Collect like terms by calculating the sum or difference of their coefficients
(−b+1)a+b=0
Move the constant to the right side
(−b+1)a=0−b
Removing 0 doesn't change the value,so remove it from the expression
(−b+1)a=−b
Divide both sides
−b+1(−b+1)a=−b+1−b
Divide the numbers
a=−b+1−b
Use b−a=−ba=−ba to rewrite the fraction
a=−−b+1b
a=−−b+1bb−a=0
Solve the equation for a
More Steps
Evaluate
b−a=0
Move the expression to the right-hand side and change its sign
−a=0−b
Removing 0 doesn't change the value,so remove it from the expression
−a=−b
Change the signs on both sides of the equation
a=b
a=−−b+1ba=b
Solution
a=b−1ba=b
Show Solution
