Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
435p−14
Evaluate
710p−4÷21p×146p×8
Reduce the fraction
More Steps
Evaluate
21p×146p×8
Multiply the terms
21p×1448p
Multiply the terms
294p48p
Reduce the fraction
49p8p
Reduce the fraction
498
710p−4÷498
Multiply by the reciprocal
710p−4×849
Rewrite the expression
72(5p−2)×849
Cancel out the common factor 2
75p−2×449
Cancel out the common factor 7
(5p−2)×47
Multiply the terms
4(5p−2)×7
Multiply the terms
47(5p−2)
Solution
More Steps
Evaluate
7(5p−2)
Apply the distributive property
7×5p−7×2
Multiply the numbers
35p−7×2
Multiply the numbers
35p−14
435p−14
Show Solution
Find the excluded values
p=0
Evaluate
710p−4÷21p×146p×8
To find the excluded values,set the denominators equal to 0
21p×14=021p×146p×8=0
Solve the equations
More Steps
Evaluate
21p×14=0
Multiply the terms
294p=0
Rewrite the expression
p=0
p=021p×146p×8=0
Solve the equations
More Steps
Evaluate
21p×146p×8=0
Reduce the fraction
More Steps
Evaluate
21p×146p×8
Multiply the terms
21p×1448p
Multiply the terms
294p48p
Reduce the fraction
49p8p
Reduce the fraction
498
498=0
Multiply both sides of the equation by LCD
498×49=0×49
Simplify the equation
8=0×49
Any expression multiplied by 0 equals 0
8=0
The statement is false for any value of p
p∈∅
p=0p∈∅
Solution
p=0
Show Solution
Find the roots
p=52
Alternative Form
p=0.4
Evaluate
710p−4÷21p×146p×8
To find the roots of the expression,set the expression equal to 0
710p−4÷21p×146p×8=0
Find the domain
More Steps
Evaluate
{21p×14=021p×146p×8=0
Calculate
More Steps
Evaluate
21p×14=0
Multiply the terms
294p=0
Rewrite the expression
p=0
{p=021p×146p×8=0
Calculate
More Steps
Evaluate
21p×146p×8=0
Reduce the fraction
498=0
Calculate
0.163265=0
The statement is true for any value of p
p∈R
{p=0p∈R
Find the intersection
p=0
710p−4÷21p×146p×8=0,p=0
Calculate
710p−4÷21p×146p×8=0
Multiply the terms
710p−4÷21p×1448p=0
Multiply the terms
710p−4÷294p48p=0
Divide the terms
More Steps
Evaluate
294p48p
Reduce the fraction
29448
Cancel out the common factor 6
498
710p−4÷498=0
Divide the terms
More Steps
Evaluate
710p−4÷498
Multiply by the reciprocal
710p−4×849
Rewrite the expression
72(5p−2)×849
Cancel out the common factor 2
75p−2×449
Cancel out the common factor 7
(5p−2)×47
Multiply the terms
4(5p−2)×7
Multiply the terms
47(5p−2)
47(5p−2)=0
Simplify
7(5p−2)=0
Rewrite the expression
5p−2=0
Move the constant to the right side
5p=0+2
Removing 0 doesn't change the value,so remove it from the expression
5p=2
Divide both sides
55p=52
Divide the numbers
p=52
Check if the solution is in the defined range
p=52,p=0
Solution
p=52
Alternative Form
p=0.4
Show Solution