Question
Solve the equation
x=1
Evaluate
x2−1=(x−1)(x×1)
Remove the parentheses
x2−1=(x−1)x×1
Multiply the terms
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Evaluate
(x−1)x×1
Rewrite the expression
(x−1)x
Multiply the terms
x(x−1)
x2−1=x(x−1)
Move the expression to the left side
x2−1−x(x−1)=0
Subtract the terms
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Evaluate
x2−x(x−1)
Expand the expression
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Calculate
−x(x−1)
Apply the distributive property
−x×x−x(−1)
Multiply the terms
−x2−x(−1)
Multiplying or dividing an even number of negative terms equals a positive
−x2+x
x2−x2+x
The sum of two opposites equals 0
More Steps

Evaluate
x2−x2
Collect like terms
(1−1)x2
Add the coefficients
0×x2
Calculate
0
0+x
Remove 0
x
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Solution
x=1
Show Solution
