Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x−40−16x−10
Evaluate
(x−10−4)(x−10×4)
Remove the parentheses
(x−10−4)x−10×4
Calculate the product
(x−10−4)×4x−10
Use the the distributive property to expand the expression
x−10×4x−10−4×4x−10
Multiply the terms
More Steps
Evaluate
x−10×4x−10
Calculate the product
4(x−10)
Apply the distributive property
4x−4×10
Multiply the numbers
4x−40
4x−40−4×4x−10
Solution
4x−40−16x−10
Show Solution
Find the roots
x1=10,x2=26
Evaluate
(x−10−4)(x−10×4)
To find the roots of the expression,set the expression equal to 0
(x−10−4)(x−10×4)=0
Find the domain
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Evaluate
x−10≥0
Move the constant to the right side
x≥0+10
Removing 0 doesn't change the value,so remove it from the expression
x≥10
(x−10−4)(x−10×4)=0,x≥10
Calculate
(x−10−4)(x−10×4)=0
Calculate the product
(x−10−4)×4x−10=0
Separate the equation into 2 possible cases
x−10−4=0x−10=0
Solve the equation
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Evaluate
x−10−4=0
Move the constant to the right-hand side and change its sign
x−10=0+4
Removing 0 doesn't change the value,so remove it from the expression
x−10=4
Raise both sides of the equation to the 2-th power to eliminate the isolated 2-th root
(x−10)2=42
Evaluate the power
x−10=16
Move the constant to the right-hand side and change its sign
x=16+10
Add the numbers
x=26
x=26x−10=0
Solve the equation
More Steps
Evaluate
x−10=0
The only way a root could be 0 is when the radicand equals 0
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=26x=10
Check if the solution is in the defined range
x=26x=10,x≥10
Find the intersection of the solution and the defined range
x=26x=10
Solution
x1=10,x2=26
Show Solution