Question
Simplify the expression
5x2
Evaluate
((5x−3)−2)×5x−4
Evaluate
(5x−3)−2×5x−4
Multiply the terms
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Evaluate
(5x−3)−2×5
Reduce the numbers
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Calculate
251x6×5
Rewrite the expression
25x6×5
Reduce the fraction
5x6×1
5x6×1
Any expression multiplied by 1 remains the same
5x6
5x6x−4
Express with a positive exponent using a−n=an1
5x6×x41
Cancel out the common factor x4
5x2×1
Solution
5x2
Show Solution

Find the roots
x∈∅
Evaluate
((5x−3)−2)×5x−4
To find the roots of the expression,set the expression equal to 0
((5x−3)−2)×5x−4=0
Find the domain
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Evaluate
{x=05x−3=0
Calculate
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Evaluate
5x−3=0
Rewrite the expression
x−3=0
Rearrange the terms
x31=0
Calculate
{1=0x3=0
The statement is true for any value of x
{x∈Rx3=0
The only way a power can not be 0 is when the base not equals 0
{x∈Rx=0
Find the intersection
x=0
{x=0x=0
Find the intersection
x=0
((5x−3)−2)×5x−4=0,x=0
Calculate
((5x−3)−2)×5x−4=0
Calculate
(5x−3)−2×5x−4=0
Multiply the terms
More Steps

Multiply the terms
(5x−3)−2×5x−4
Multiply the terms
More Steps

Evaluate
(5x−3)−2×5
Reduce the numbers
5x6×1
Any expression multiplied by 1 remains the same
5x6
5x6x−4
Express with a positive exponent using a−n=an1
5x6×x41
Cancel out the common factor x4
5x2×1
Multiply the terms
5x2
5x2=0
Simplify
x2=0
The only way a power can be 0 is when the base equals 0
x=0
Check if the solution is in the defined range
x=0,x=0
Solution
x∈∅
Show Solution
