Question
Solve the equation(The real numbers system)
a∈/R
Evaluate
33a−14a3×a−4a−15a=12
Evaluate
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Evaluate
33a−14a3×a−4a−15a
Multiply
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Multiply the terms
−14a3×a
Multiply the terms with the same base by adding their exponents
−14a3+1
Add the numbers
−14a4
33a−14a4−4a−15a
Subtract the terms
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Evaluate
33a−4a−15a
Collect like terms by calculating the sum or difference of their coefficients
(33−4−15)a
Subtract the numbers
14a
14a−14a4
14a−14a4=12
Move the expression to the left side
14a−14a4−12=0
Factor the expression
2(7a−7a4−6)=0
Divide both sides
7a−7a4−6=0
Solution
a∈/R
Show Solution

Solve the equation(The complex numbers system)
a1≈0.704119−0.37514i,a2≈0.704119+0.37514i,a3≈−0.704119−0.922408i,a4≈−0.704119+0.922408i
Evaluate
33a−14a3×a−4a−15a=12
Simplify
More Steps

Evaluate
33a−14a3×a−4a−15a
Multiply
More Steps

Multiply the terms
−14a3×a
Multiply the terms with the same base by adding their exponents
−14a3+1
Add the numbers
−14a4
33a−14a4−4a−15a
Subtract the terms
More Steps

Evaluate
33a−4a−15a
Collect like terms by calculating the sum or difference of their coefficients
(33−4−15)a
Subtract the numbers
14a
14a−14a4
14a−14a4=12
Move the expression to the left side
14a−14a4−12=0
Factor the expression
2(7a−7a4−6)=0
Divide both sides
7a−7a4−6=0
Calculate
a≈−0.704119+0.922408ia≈−0.704119−0.922408ia≈0.704119+0.37514ia≈0.704119−0.37514i
Solution
a1≈0.704119−0.37514i,a2≈0.704119+0.37514i,a3≈−0.704119−0.922408i,a4≈−0.704119+0.922408i
Show Solution
