Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=8
Evaluate
(x2−1)x=504
Multiply the terms
x(x2−1)=504
Expand the expression
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Evaluate
x(x2−1)
Apply the distributive property
x×x2−x×1
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3−x×1
Any expression multiplied by 1 remains the same
x3−x
x3−x=504
Move the expression to the left side
x3−x−504=0
Factor the expression
(x−8)(x2+8x+63)=0
Separate the equation into 2 possible cases
x−8=0x2+8x+63=0
Solve the equation
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Evaluate
x−8=0
Move the constant to the right-hand side and change its sign
x=0+8
Removing 0 doesn't change the value,so remove it from the expression
x=8
x=8x2+8x+63=0
Solve the equation
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Evaluate
x2+8x+63=0
Substitute a=1,b=8 and c=63 into the quadratic formula x=2a−b±b2−4ac
x=2−8±82−4×63
Simplify the expression
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Evaluate
82−4×63
Multiply the numbers
82−252
Evaluate the power
64−252
Subtract the numbers
−188
x=2−8±−188
The expression is undefined in the set of real numbers
x∈/R
x=8x∈/R
Solution
x=8
Show Solution
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