Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
15xx−3x
Evaluate
x×(15x−3)
Multiply each term in the parentheses by x
x×15x+x×(−3)
Calculate the product
15xx+x×(−3)
Solution
15xx−3x
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Factor the expression
3x×(5x−1)
Evaluate
x×(15x−3)
Multiply each term in the parentheses by x
x×15x+x×(−3)
Calculate the product
15xx+x×(−3)
Calculate the product
15xx−3x
Rewrite the expression
3x×5x−3x
Solution
3x×(5x−1)
Show Solution
Find the roots
x1=0,x2=51
Alternative Form
x1=0,x2=0.2
Evaluate
x×(15x−3)
To find the roots of the expression,set the expression equal to 0
x×(15x−3)=0
Find the domain
x×(15x−3)=0,x≥0
Calculate
x×(15x−3)=0
Separate the equation into 2 possible cases
x=015x−3=0
The only way a root could be 0 is when the radicand equals 0
x=015x−3=0
Solve the equation
More Steps
Evaluate
15x−3=0
Move the constant to the right-hand side and change its sign
15x=0+3
Removing 0 doesn't change the value,so remove it from the expression
15x=3
Divide both sides
1515x=153
Divide the numbers
x=153
Cancel out the common factor 3
x=51
x=0x=51
Check if the solution is in the defined range
x=0x=51,x≥0
Find the intersection of the solution and the defined range
x=0x=51
Solution
x1=0,x2=51
Alternative Form
x1=0,x2=0.2
Show Solution