Question
Solve the equation
n=0
Evaluate
2n2×14n=−1913n
Multiply
More Steps

Evaluate
2n2×14n
Multiply the terms
28n2×n
Multiply the terms with the same base by adding their exponents
28n2+1
Add the numbers
28n3
28n3=−1913n
Add or subtract both sides
28n3−(−1913n)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
28n3+1913n=0
Factor the expression
n(28n2+1913)=0
Separate the equation into 2 possible cases
n=028n2+1913=0
Solve the equation
More Steps

Evaluate
28n2+1913=0
Move the constant to the right-hand side and change its sign
28n2=0−1913
Removing 0 doesn't change the value,so remove it from the expression
28n2=−1913
Divide both sides
2828n2=28−1913
Divide the numbers
n2=28−1913
Use b−a=−ba=−ba to rewrite the fraction
n2=−281913
Calculate
n∈/R
n=0n∈/R
Solution
n=0
Show Solution
