Question
Simplify the expression
Solution
−2011A−1742
Evaluate
A×1−116−101−501A×1−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501
Write the repeated addition as multiplication
A×1−116×5−101−501A×1−100−504A×1−100−505A×1−180−502A×1−180−501
Any expression multiplied by 1 remains the same
A−116×5−101−501A×1−100−504A×1−100−505A×1−180−502A×1−180−501
Multiply the numbers
A−580−101−501A×1−100−504A×1−100−505A×1−180−502A×1−180−501
Multiply the terms
A−580−101−501A−100−504A×1−100−505A×1−180−502A×1−180−501
Multiply the terms
A−580−101−501A−100−504A−100−505A×1−180−502A×1−180−501
Multiply the terms
A−580−101−501A−100−504A−100−505A−180−502A×1−180−501
Multiply the terms
A−580−101−501A−100−504A−100−505A−180−502A−180−501
Subtract the terms
More Steps
Evaluate
A−501A−504A−505A−502A
Collect like terms by calculating the sum or difference of their coefficients
(1−501−504−505−502)A
Subtract the numbers
−2011A
−2011A−580−101−100−100−180−180−501
Solution
−2011A−1742
Show Solution
Find the roots
Find the roots of the algebra expression
A=−20111742
Alternative Form
A≈−0.866236
Evaluate
A×1−116−101−501A×1−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501
To find the roots of the expression,set the expression equal to 0
A×1−116−101−501A×1−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Any expression multiplied by 1 remains the same
A−116−101−501A×1−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Multiply the terms
A−116−101−501A−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the numbers
A−217−501A−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the terms
More Steps
Simplify
A−217−501A
Subtract the terms
More Steps
Evaluate
A−501A
Collect like terms by calculating the sum or difference of their coefficients
(1−501)A
Subtract the numbers
−500A
−500A−217
−500A−217−116−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the numbers
−500A−333−100−504A×1−116−100−505A×1−116−180−502A×1−116−180−501=0
Multiply the terms
−500A−333−100−504A−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the numbers
−500A−433−504A−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the terms
More Steps
Simplify
−500A−433−504A
Subtract the terms
More Steps
Evaluate
−500A−504A
Collect like terms by calculating the sum or difference of their coefficients
(−500−504)A
Subtract the numbers
−1004A
−1004A−433
−1004A−433−116−100−505A×1−116−180−502A×1−116−180−501=0
Subtract the numbers
−1004A−549−100−505A×1−116−180−502A×1−116−180−501=0
Multiply the terms
−1004A−549−100−505A−116−180−502A×1−116−180−501=0
Subtract the numbers
−1004A−649−505A−116−180−502A×1−116−180−501=0
Subtract the terms
More Steps
Simplify
−1004A−649−505A
Subtract the terms
More Steps
Evaluate
−1004A−505A
Collect like terms by calculating the sum or difference of their coefficients
(−1004−505)A
Subtract the numbers
−1509A
−1509A−649
−1509A−649−116−180−502A×1−116−180−501=0
Subtract the numbers
−1509A−765−180−502A×1−116−180−501=0
Multiply the terms
−1509A−765−180−502A−116−180−501=0
Subtract the numbers
−1509A−945−502A−116−180−501=0
Subtract the terms
More Steps
Simplify
−1509A−945−502A
Subtract the terms
More Steps
Evaluate
−1509A−502A
Collect like terms by calculating the sum or difference of their coefficients
(−1509−502)A
Subtract the numbers
−2011A
−2011A−945
−2011A−945−116−180−501=0
Subtract the numbers
−2011A−1061−180−501=0
Subtract the numbers
−2011A−1241−501=0
Subtract the numbers
−2011A−1742=0
Move the constant to the right-hand side and change its sign
−2011A=0+1742
Removing 0 doesn't change the value,so remove it from the expression
−2011A=1742
Change the signs on both sides of the equation
2011A=−1742
Divide both sides
20112011A=2011−1742
Divide the numbers
A=2011−1742
Solution
A=−20111742
Alternative Form
A≈−0.866236
Show Solution