Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
x−54−1=2x3(2×3x)
Remove the parentheses
x−54−1=2x3×2×3x
Subtract the numbers
More Steps

Evaluate
−54−1
Reduce fractions to a common denominator
−54−55
Write all numerators above the common denominator
5−4−5
Subtract the numbers
5−9
Use b−a=−ba=−ba to rewrite the fraction
−59
x−59=2x3×2×3x
Evaluate
More Steps

Evaluate
2x3×2×3x
Multiply the terms
4x3×3x
Multiply the terms
34x3×x
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
34x4
x−59=34x4
Multiply both sides of the equation by LCD
(x−59)×15=34x4×15
Simplify the equation
More Steps

Evaluate
(x−59)×15
Apply the distributive property
x×15−59×15
Simplify
x×15−9×3
Use the commutative property to reorder the terms
15x−9×3
Multiply the numbers
15x−27
15x−27=34x4×15
Simplify the equation
More Steps

Evaluate
34x4×15
Simplify
4x4×5
Multiply the numbers
20x4
15x−27=20x4
Move the expression to the left side
15x−27−20x4=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈0.770425+0.591763i,x2≈0.770425−0.591763i,x3≈−0.770425+0.914837i,x4≈−0.770425−0.914837i
Evaluate
x−54−1=2x3(2×3x)
Remove the parentheses
x−54−1=2x3×2×3x
Subtract the numbers
More Steps

Evaluate
−54−1
Reduce fractions to a common denominator
−54−55
Write all numerators above the common denominator
5−4−5
Subtract the numbers
5−9
Use b−a=−ba=−ba to rewrite the fraction
−59
x−59=2x3×2×3x
Multiply
More Steps

Evaluate
2x3×2×3x
Multiply the terms
4x3×3x
Multiply the terms
34x3×x
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
34x4
x−59=34x4
Multiply both sides of the equation by LCD
(x−59)×15=34x4×15
Simplify the equation
More Steps

Evaluate
(x−59)×15
Apply the distributive property
x×15−59×15
Simplify
x×15−9×3
Use the commutative property to reorder the terms
15x−9×3
Multiply the numbers
15x−27
15x−27=34x4×15
Simplify the equation
More Steps

Evaluate
34x4×15
Simplify
4x4×5
Multiply the numbers
20x4
15x−27=20x4
Move the expression to the left side
15x−27−20x4=0
Calculate
x≈−0.770425−0.914837ix≈−0.770425+0.914837ix≈0.770425−0.591763ix≈0.770425+0.591763i
Solution
x1≈0.770425+0.591763i,x2≈0.770425−0.591763i,x3≈−0.770425+0.914837i,x4≈−0.770425−0.914837i
Show Solution
