Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x≈11.891442
Evaluate
84×6=x(x−1)(x−8)
Multiply the numbers
504=x(x−1)(x−8)
Swap the sides of the equation
x(x−1)(x−8)=504
Expand the expression
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Evaluate
x(x−1)(x−8)
Multiply the terms
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Evaluate
x(x−1)
Apply the distributive property
x×x−x×1
Multiply the terms
x2−x×1
Any expression multiplied by 1 remains the same
x2−x
(x2−x)(x−8)
Apply the distributive property
x2×x−x2×8−x×x−(−x×8)
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2×8−x×x−(−x×8)
Use the commutative property to reorder the terms
x3−8x2−x×x−(−x×8)
Multiply the terms
x3−8x2−x2−(−x×8)
Use the commutative property to reorder the terms
x3−8x2−x2−(−8x)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3−8x2−x2+8x
Subtract the terms
More Steps
Evaluate
−8x2−x2
Collect like terms by calculating the sum or difference of their coefficients
(−8−1)x2
Subtract the numbers
−9x2
x3−9x2+8x
x3−9x2+8x=504
Move the expression to the left side
x3−9x2+8x−504=0
Solution
x≈11.891442
Show Solution
Graph
