Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2−28x
Evaluate
2(x×1)2−4(x×1)×7
Remove the parentheses
2(x×1)2−4x×1×7
Any expression multiplied by 1 remains the same
2x2−4x×1×7
Solution
More Steps
Multiply the terms
4x×1×7
Rewrite the expression
4x×7
Multiply the terms
28x
2x2−28x
Show Solution
Factor the expression
2x(x−14)
Evaluate
2(x×1)2−4(x×1)×7
Remove the parentheses
2(x×1)2−4x×1×7
Any expression multiplied by 1 remains the same
2x2−4x×1×7
Any expression multiplied by 1 remains the same
2x2−4x×7
Multiply the terms
2x2−28x
Rewrite the expression
2x×x−2x×14
Solution
2x(x−14)
Show Solution
Find the roots
x1=0,x2=14
Evaluate
2(x×1)2−4(x×1)×7
To find the roots of the expression,set the expression equal to 0
2(x×1)2−4(x×1)×7=0
Any expression multiplied by 1 remains the same
2x2−4(x×1)×7=0
Any expression multiplied by 1 remains the same
2x2−4x×7=0
Multiply the terms
2x2−28x=0
Factor the expression
More Steps
Evaluate
2x2−28x
Rewrite the expression
2x×x−2x×14
Factor out 2x from the expression
2x(x−14)
2x(x−14)=0
When the product of factors equals 0,at least one factor is 0
2x=0x−14=0
Solve the equation for x
x=0x−14=0
Solve the equation for x
More Steps
Evaluate
x−14=0
Move the constant to the right-hand side and change its sign
x=0+14
Removing 0 doesn't change the value,so remove it from the expression
x=14
x=0x=14
Solution
x1=0,x2=14
Show Solution