Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
5(x−1)×16×2x3=3(2x−7)−x
Evaluate
More Steps

Evaluate
5(x−1)×16×2x3
Multiply the terms
More Steps

Evaluate
5×16×2
Multiply the terms
80×2
Multiply the numbers
160
160(x−1)x3
Multiply the terms
160x3(x−1)
160x3(x−1)=3(2x−7)−x
Calculate
More Steps

Evaluate
160x3(x−1)
Apply the distributive property
160x3×x−160x3×1
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
160x4−160x3×1
Any expression multiplied by 1 remains the same
160x4−160x3
160x4−160x3=3(2x−7)−x
Calculate
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Evaluate
3(2x−7)−x
Expand the expression
More Steps

Calculate
3(2x−7)
Apply the distributive property
3×2x−3×7
Multiply the numbers
6x−3×7
Multiply the numbers
6x−21
6x−21−x
Subtract the terms
More Steps

Evaluate
6x−x
Collect like terms by calculating the sum or difference of their coefficients
(6−1)x
Subtract the numbers
5x
5x−21
160x4−160x3=5x−21
Move the expression to the left side
160x4−160x3−(5x−21)=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
160x4−160x3−5x+21=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈−0.2649−0.391774i,x2≈−0.2649+0.391774i,x3≈0.7649−0.041932i,x4≈0.7649+0.041932i
Evaluate
5(x−1)×16×2x3=3(2x−7)−x
Multiply
More Steps

Evaluate
5(x−1)×16×2x3
Multiply the terms
More Steps

Evaluate
5×16×2
Multiply the terms
80×2
Multiply the numbers
160
160(x−1)x3
Multiply the terms
160x3(x−1)
160x3(x−1)=3(2x−7)−x
Calculate
More Steps

Evaluate
160x3(x−1)
Apply the distributive property
160x3×x−160x3×1
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
160x4−160x3×1
Any expression multiplied by 1 remains the same
160x4−160x3
160x4−160x3=3(2x−7)−x
Calculate
More Steps

Evaluate
3(2x−7)−x
Expand the expression
More Steps

Calculate
3(2x−7)
Apply the distributive property
3×2x−3×7
Multiply the numbers
6x−3×7
Multiply the numbers
6x−21
6x−21−x
Subtract the terms
More Steps

Evaluate
6x−x
Collect like terms by calculating the sum or difference of their coefficients
(6−1)x
Subtract the numbers
5x
5x−21
160x4−160x3=5x−21
Move the expression to the left side
160x4−160x3−(5x−21)=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
160x4−160x3−5x+21=0
Calculate
x≈0.7649+0.041932ix≈0.7649−0.041932ix≈−0.2649+0.391774ix≈−0.2649−0.391774i
Solution
x1≈−0.2649−0.391774i,x2≈−0.2649+0.391774i,x3≈0.7649−0.041932i,x4≈0.7649+0.041932i
Show Solution
