Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−87x
Evaluate
x2−2x×167
Solution
More Steps
Evaluate
2×167
Reduce the numbers
1×87
Multiply the numbers
87
x2−87x
Show Solution
Factor the expression
81x(8x−7)
Evaluate
x2−2x×167
Multiply the terms
More Steps
Evaluate
2×167
Reduce the numbers
1×87
Multiply the numbers
87
x2−87x
Rewrite the expression
81x×8x−81x×7
Solution
81x(8x−7)
Show Solution
Find the roots
x1=0,x2=87
Alternative Form
x1=0,x2=0.875
Evaluate
x2−2x×167
To find the roots of the expression,set the expression equal to 0
x2−2x×167=0
Multiply the terms
More Steps
Multiply the terms
2x×167
Multiply the terms
More Steps
Evaluate
2×167
Reduce the numbers
1×87
Multiply the numbers
87
87x
x2−87x=0
Factor the expression
More Steps
Evaluate
x2−87x
Rewrite the expression
81x×8x−81x×7
Factor out 81x from the expression
81x(8x−7)
81x(8x−7)=0
When the product of factors equals 0,at least one factor is 0
81x=08x−7=0
Solve the equation for x
x=08x−7=0
Solve the equation for x
More Steps
Evaluate
8x−7=0
Move the constant to the right-hand side and change its sign
8x=0+7
Removing 0 doesn't change the value,so remove it from the expression
8x=7
Divide both sides
88x=87
Divide the numbers
x=87
x=0x=87
Solution
x1=0,x2=87
Alternative Form
x1=0,x2=0.875
Show Solution