Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
280800−17472x+104x2
Evaluate
(5150−x×520)(18−x)
Remove the parentheses
5150−x×520(18−x)
Multiply the terms
More Steps
Multiply the terms
5150−x×520
Cancel out the common factor 5
(150−x)×104
Multiply the terms
104(150−x)
104(150−x)(18−x)
Multiply the terms
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Evaluate
104(150−x)
Apply the distributive property
104×150−104x
Multiply the numbers
15600−104x
(15600−104x)(18−x)
Apply the distributive property
15600×18−15600x−104x×18−(−104x×x)
Multiply the numbers
280800−15600x−104x×18−(−104x×x)
Multiply the numbers
280800−15600x−1872x−(−104x×x)
Multiply the terms
280800−15600x−1872x−(−104x2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
280800−15600x−1872x+104x2
Solution
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Evaluate
−15600x−1872x
Collect like terms by calculating the sum or difference of their coefficients
(−15600−1872)x
Subtract the numbers
−17472x
280800−17472x+104x2
Show Solution
Find the roots
x1=18,x2=150
Evaluate
(5150−x×520)(18−x)
To find the roots of the expression,set the expression equal to 0
(5150−x×520)(18−x)=0
Multiply the terms
More Steps
Multiply the terms
5150−x×520
Cancel out the common factor 5
(150−x)×104
Multiply the terms
104(150−x)
104(150−x)(18−x)=0
Elimination the left coefficient
(150−x)(18−x)=0
Separate the equation into 2 possible cases
150−x=018−x=0
Solve the equation
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Evaluate
150−x=0
Move the constant to the right-hand side and change its sign
−x=0−150
Removing 0 doesn't change the value,so remove it from the expression
−x=−150
Change the signs on both sides of the equation
x=150
x=15018−x=0
Solve the equation
More Steps
Evaluate
18−x=0
Move the constant to the right-hand side and change its sign
−x=0−18
Removing 0 doesn't change the value,so remove it from the expression
−x=−18
Change the signs on both sides of the equation
x=18
x=150x=18
Solution
x1=18,x2=150
Show Solution