Question
Solve the equation(The real numbers system)
x≈−0.283543
Evaluate
−4(−x3)=6(−7x−2)
Evaluate
4x3=6(−7x−2)
Expand the expression
More Steps

Evaluate
6(−7x−2)
Apply the distributive property
6(−7x)−6×2
Multiply the numbers
More Steps

Evaluate
6(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−6×7
Multiply the numbers
−42
−42x−6×2
Multiply the numbers
−42x−12
4x3=−42x−12
Move the expression to the left side
4x3−(−42x−12)=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
4x3+42x+12=0
Factor the expression
2(2x3+21x+6)=0
Divide both sides
2x3+21x+6=0
Solution
x≈−0.283543
Show Solution

Solve the equation(The complex numbers system)
x1≈0.141772−3.249661i,x2≈0.141772+3.249661i,x3≈−0.283543
Evaluate
−4(−x3)=6(−7x−2)
Multiply the numbers
4x3=6(−7x−2)
Expand the expression
More Steps

Evaluate
6(−7x−2)
Apply the distributive property
6(−7x)−6×2
Multiply the numbers
More Steps

Evaluate
6(−7)
Multiplying or dividing an odd number of negative terms equals a negative
−6×7
Multiply the numbers
−42
−42x−6×2
Multiply the numbers
−42x−12
4x3=−42x−12
Move the expression to the left side
4x3−(−42x−12)=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
4x3+42x+12=0
Factor the expression
2(2x3+21x+6)=0
Divide both sides
2x3+21x+6=0
Calculate
x≈−0.283543x≈0.141772+3.249661ix≈0.141772−3.249661i
Solution
x1≈0.141772−3.249661i,x2≈0.141772+3.249661i,x3≈−0.283543
Show Solution
