Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
3x−28x2
Evaluate
3x−4x×7x
Solution
More Steps
Evaluate
4x×7x
Multiply the terms
28x×x
Multiply the terms
28x2
3x−28x2
Show Solution
Factor the expression
x(3−28x)
Evaluate
3x−4x×7x
Multiply
More Steps
Evaluate
4x×7x
Multiply the terms
28x×x
Multiply the terms
28x2
3x−28x2
Rewrite the expression
x×3−x×28x
Solution
x(3−28x)
Show Solution
Find the roots
x1=0,x2=283
Alternative Form
x1=0,x2=0.107˙14285˙
Evaluate
3x−4x×7x
To find the roots of the expression,set the expression equal to 0
3x−4x×7x=0
Multiply
More Steps
Multiply the terms
4x×7x
Multiply the terms
28x×x
Multiply the terms
28x2
3x−28x2=0
Factor the expression
More Steps
Evaluate
3x−28x2
Rewrite the expression
x×3−x×28x
Factor out x from the expression
x(3−28x)
x(3−28x)=0
When the product of factors equals 0,at least one factor is 0
x=03−28x=0
Solve the equation for x
More Steps
Evaluate
3−28x=0
Move the constant to the right-hand side and change its sign
−28x=0−3
Removing 0 doesn't change the value,so remove it from the expression
−28x=−3
Change the signs on both sides of the equation
28x=3
Divide both sides
2828x=283
Divide the numbers
x=283
x=0x=283
Solution
x1=0,x2=283
Alternative Form
x1=0,x2=0.107˙14285˙
Show Solution