Question
Solve the equation(The real numbers system)
s∈/R
Evaluate
2s4=5(−4−2s)
Expand the expression
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Evaluate
5(−4−2s)
Apply the distributive property
5(−4)−5×2s
Multiply the numbers
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Evaluate
5(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−5×4
Multiply the numbers
−20
−20−5×2s
Multiply the numbers
−20−10s
2s4=−20−10s
Move the expression to the left side
2s4−(−20−10s)=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
2s4+20+10s=0
Factor the expression
2(s4+10+5s)=0
Divide both sides
s4+10+5s=0
Solution
s∈/R
Show Solution

Solve the equation(The complex numbers system)
s1≈−1.28613−0.825968i,s2≈−1.28613+0.825968i,s3≈1.28613−1.620506i,s4≈1.28613+1.620506i
Evaluate
2s4=5(−4−2s)
Expand the expression
More Steps

Evaluate
5(−4−2s)
Apply the distributive property
5(−4)−5×2s
Multiply the numbers
More Steps

Evaluate
5(−4)
Multiplying or dividing an odd number of negative terms equals a negative
−5×4
Multiply the numbers
−20
−20−5×2s
Multiply the numbers
−20−10s
2s4=−20−10s
Move the expression to the left side
2s4−(−20−10s)=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
2s4+20+10s=0
Factor the expression
2(s4+10+5s)=0
Divide both sides
s4+10+5s=0
Calculate
s≈1.28613+1.620506is≈1.28613−1.620506is≈−1.28613+0.825968is≈−1.28613−0.825968i
Solution
s1≈−1.28613−0.825968i,s2≈−1.28613+0.825968i,s3≈1.28613−1.620506i,s4≈1.28613+1.620506i
Show Solution
