Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
n1=−74,n2=712
Alternative Form
n1=−0.5˙71428˙,n2=1.7˙14285˙
Evaluate
11−∣2n−4(2−3n)∣=−5
Subtract the terms
More Steps
Evaluate
2n−4(2−3n)
Expand the expression
More Steps
Calculate
−4(2−3n)
Apply the distributive property
−4×2−(−4×3n)
Multiply the numbers
−8−(−4×3n)
Multiply the numbers
−8−(−12n)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−8+12n
2n−8+12n
Add the terms
More Steps
Evaluate
2n+12n
Collect like terms by calculating the sum or difference of their coefficients
(2+12)n
Add the numbers
14n
14n−8
11−∣14n−8∣=−5
Move the constant to the right-hand side and change its sign
−∣14n−8∣=−5−11
Subtract the numbers
−∣14n−8∣=−16
Calculate
∣14n−8∣=16
Separate the equation into 2 possible cases
14n−8=1614n−8=−16
Solve the equation for n
More Steps
Evaluate
14n−8=16
Move the constant to the right-hand side and change its sign
14n=16+8
Add the numbers
14n=24
Divide both sides
1414n=1424
Divide the numbers
n=1424
Cancel out the common factor 2
n=712
n=71214n−8=−16
Solve the equation for n
More Steps
Evaluate
14n−8=−16
Move the constant to the right-hand side and change its sign
14n=−16+8
Add the numbers
14n=−8
Divide both sides
1414n=14−8
Divide the numbers
n=14−8
Divide the numbers
More Steps
Evaluate
14−8
Cancel out the common factor 2
7−4
Use b−a=−ba=−ba to rewrite the fraction
−74
n=−74
n=712n=−74
Solution
n1=−74,n2=712
Alternative Form
n1=−0.5˙71428˙,n2=1.7˙14285˙
Show Solution
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