Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x2−27x
Evaluate
4(x2−3x×49)
Multiply the terms
More Steps
Evaluate
3×49
Multiply the numbers
43×9
Multiply the numbers
427
4(x2−427x)
Apply the distributive property
4x2−4×427x
Solution
More Steps
Evaluate
4×427
Reduce the numbers
1×27
Simplify
27
4x2−27x
Show Solution
Factor the expression
x(4x−27)
Evaluate
4(x2−3x×49)
Multiply the terms
More Steps
Evaluate
3×49
Multiply the numbers
43×9
Multiply the numbers
427
4(x2−427x)
Factor the expression
More Steps
Evaluate
x2−427x
Rewrite the expression
41x×4x−41x×27
Factor out 41x from the expression
41x(4x−27)
4×41x(4x−27)
Solution
x(4x−27)
Show Solution
Find the roots
x1=0,x2=427
Alternative Form
x1=0,x2=6.75
Evaluate
4(x2−3x×49)
To find the roots of the expression,set the expression equal to 0
4(x2−3x×49)=0
Multiply the terms
More Steps
Multiply the terms
3x×49
Multiply the terms
More Steps
Evaluate
3×49
Multiply the numbers
43×9
Multiply the numbers
427
427x
4(x2−427x)=0
Rewrite the expression
x2−427x=0
Factor the expression
More Steps
Evaluate
x2−427x
Rewrite the expression
41x×4x−41x×27
Factor out 41x from the expression
41x(4x−27)
41x(4x−27)=0
When the product of factors equals 0,at least one factor is 0
41x=04x−27=0
Solve the equation for x
x=04x−27=0
Solve the equation for x
More Steps
Evaluate
4x−27=0
Move the constant to the right-hand side and change its sign
4x=0+27
Removing 0 doesn't change the value,so remove it from the expression
4x=27
Divide both sides
44x=427
Divide the numbers
x=427
x=0x=427
Solution
x1=0,x2=427
Alternative Form
x1=0,x2=6.75
Show Solution