Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
−2×3x4=−4(x−2)−2x
Evaluate
−6x4=−4(x−2)−2x
Move the expression to the left side
−6x4−(−4(x−2)−2x)=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
−6x4+4(x−2)+2x=0
Calculate
More Steps

Evaluate
−6x4+4(x−2)+2x
Expand the expression
More Steps

Calculate
4(x−2)
Apply the distributive property
4x−4×2
Multiply the numbers
4x−8
−6x4+4x−8+2x
Add the terms
More Steps

Evaluate
4x+2x
Collect like terms by calculating the sum or difference of their coefficients
(4+2)x
Add the numbers
6x
−6x4+6x−8
−6x4+6x−8=0
Factor the expression
−2(3x4−3x+4)=0
Divide both sides
3x4−3x+4=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈0.774272−0.52594i,x2≈0.774272+0.52594i,x3≈−0.774272−0.960407i,x4≈−0.774272+0.960407i
Evaluate
−2×3x4=−4(x−2)−2x
Multiply the numbers
−6x4=−4(x−2)−2x
Move the expression to the left side
−6x4−(−4(x−2)−2x)=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
−6x4+4(x−2)+2x=0
Calculate
More Steps

Evaluate
−6x4+4(x−2)+2x
Expand the expression
More Steps

Calculate
4(x−2)
Apply the distributive property
4x−4×2
Multiply the numbers
4x−8
−6x4+4x−8+2x
Add the terms
More Steps

Evaluate
4x+2x
Collect like terms by calculating the sum or difference of their coefficients
(4+2)x
Add the numbers
6x
−6x4+6x−8
−6x4+6x−8=0
Factor the expression
−2(3x4−3x+4)=0
Divide both sides
3x4−3x+4=0
Calculate
x≈−0.774272+0.960407ix≈−0.774272−0.960407ix≈0.774272+0.52594ix≈0.774272−0.52594i
Solution
x1≈0.774272−0.52594i,x2≈0.774272+0.52594i,x3≈−0.774272−0.960407i,x4≈−0.774272+0.960407i
Show Solution
