Question
Simplify the expression
182x2−910x
Evaluate
2(x−5)×13(x×7)
Remove the parentheses
2(x−5)×13x×7
Multiply the terms
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Evaluate
2×13×7
Multiply the terms
26×7
Multiply the numbers
182
182(x−5)x
Multiply the terms
182x(x−5)
Apply the distributive property
182x×x−182x×5
Multiply the terms
182x2−182x×5
Solution
182x2−910x
Show Solution

Find the roots
x1=0,x2=5
Evaluate
2(x−5)×13(x×7)
To find the roots of the expression,set the expression equal to 0
2(x−5)×13(x×7)=0
Use the commutative property to reorder the terms
2(x−5)×13×7x=0
Multiply
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Multiply the terms
2(x−5)×13×7x
Multiply the terms
More Steps

Evaluate
2×13×7
Multiply the terms
26×7
Multiply the numbers
182
182(x−5)x
Multiply the terms
182x(x−5)
182x(x−5)=0
Elimination the left coefficient
x(x−5)=0
Separate the equation into 2 possible cases
x=0x−5=0
Solve the equation
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Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=0x=5
Solution
x1=0,x2=5
Show Solution
