Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
x−75−8=2×5x4
Subtract the numbers
More Steps

Evaluate
−75−8
Reduce fractions to a common denominator
−75−78×7
Write all numerators above the common denominator
7−5−8×7
Multiply the numbers
7−5−56
Subtract the numbers
7−61
Use b−a=−ba=−ba to rewrite the fraction
−761
x−761=2×5x4
Evaluate
x−761=52x4
Multiply both sides of the equation by LCD
(x−761)×35=52x4×35
Simplify the equation
More Steps

Evaluate
(x−761)×35
Apply the distributive property
x×35−761×35
Simplify
x×35−61×5
Use the commutative property to reorder the terms
35x−61×5
Multiply the numbers
35x−305
35x−305=52x4×35
Simplify the equation
More Steps

Evaluate
52x4×35
Simplify
2x4×7
Multiply the numbers
14x4
35x−305=14x4
Move the expression to the left side
35x−305−14x4=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈1.530579+1.390802i,x2≈1.530579−1.390802i,x3≈−1.530579+1.658618i,x4≈−1.530579−1.658618i
Evaluate
x−75−8=2×5x4
Subtract the numbers
More Steps

Evaluate
−75−8
Reduce fractions to a common denominator
−75−78×7
Write all numerators above the common denominator
7−5−8×7
Multiply the numbers
7−5−56
Subtract the numbers
7−61
Use b−a=−ba=−ba to rewrite the fraction
−761
x−761=2×5x4
Multiply the terms
x−761=52x4
Multiply both sides of the equation by LCD
(x−761)×35=52x4×35
Simplify the equation
More Steps

Evaluate
(x−761)×35
Apply the distributive property
x×35−761×35
Simplify
x×35−61×5
Use the commutative property to reorder the terms
35x−61×5
Multiply the numbers
35x−305
35x−305=52x4×35
Simplify the equation
More Steps

Evaluate
52x4×35
Simplify
2x4×7
Multiply the numbers
14x4
35x−305=14x4
Move the expression to the left side
35x−305−14x4=0
Calculate
x≈−1.530579−1.658618ix≈−1.530579+1.658618ix≈1.530579−1.390802ix≈1.530579+1.390802i
Solution
x1≈1.530579+1.390802i,x2≈1.530579−1.390802i,x3≈−1.530579+1.658618i,x4≈−1.530579−1.658618i
Show Solution
