Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7x−656x2
Evaluate
7x−8x×82x
Solution
More Steps
Evaluate
8x×82x
Multiply the terms
656x×x
Multiply the terms
656x2
7x−656x2
Show Solution
Factor the expression
x(7−656x)
Evaluate
7x−8x×82x
Multiply
More Steps
Evaluate
8x×82x
Multiply the terms
656x×x
Multiply the terms
656x2
7x−656x2
Rewrite the expression
x×7−x×656x
Solution
x(7−656x)
Show Solution
Find the roots
x1=0,x2=6567
Alternative Form
x1=0,x2=0.01067˙0731˙
Evaluate
7x−8x×82x
To find the roots of the expression,set the expression equal to 0
7x−8x×82x=0
Multiply
More Steps
Multiply the terms
8x×82x
Multiply the terms
656x×x
Multiply the terms
656x2
7x−656x2=0
Factor the expression
More Steps
Evaluate
7x−656x2
Rewrite the expression
x×7−x×656x
Factor out x from the expression
x(7−656x)
x(7−656x)=0
When the product of factors equals 0,at least one factor is 0
x=07−656x=0
Solve the equation for x
More Steps
Evaluate
7−656x=0
Move the constant to the right-hand side and change its sign
−656x=0−7
Removing 0 doesn't change the value,so remove it from the expression
−656x=−7
Change the signs on both sides of the equation
656x=7
Divide both sides
656656x=6567
Divide the numbers
x=6567
x=0x=6567
Solution
x1=0,x2=6567
Alternative Form
x1=0,x2=0.01067˙0731˙
Show Solution