Question
Solve the equation(The real numbers system)
x≈0.761877
Evaluate
3(x−2)×2(x−1)=4x3
Evaluate
6(x−2)(x−1)=4x3
Expand the expression
More Steps

Evaluate
6(x−2)(x−1)
Multiply the terms
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Evaluate
6(x−2)
Apply the distributive property
6x−6×2
Multiply the numbers
6x−12
(6x−12)(x−1)
Apply the distributive property
6x×x−6x×1−12x−(−12×1)
Multiply the terms
6x2−6x×1−12x−(−12×1)
Any expression multiplied by 1 remains the same
6x2−6x−12x−(−12×1)
Any expression multiplied by 1 remains the same
6x2−6x−12x−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6x2−6x−12x+12
Subtract the terms
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Evaluate
−6x−12x
Collect like terms by calculating the sum or difference of their coefficients
(−6−12)x
Subtract the numbers
−18x
6x2−18x+12
6x2−18x+12=4x3
Move the expression to the left side
6x2−18x+12−4x3=0
Factor the expression
2(3x2−9x+6−2x3)=0
Divide both sides
3x2−9x+6−2x3=0
Solution
x≈0.761877
Show Solution

Solve the equation(The complex numbers system)
x1≈0.369061−1.949727i,x2≈0.369061+1.949727i,x3≈0.761877
Evaluate
3(x−2)×2(x−1)=4x3
Multiply the terms
6(x−2)(x−1)=4x3
Expand the expression
More Steps

Evaluate
6(x−2)(x−1)
Multiply the terms
More Steps

Evaluate
6(x−2)
Apply the distributive property
6x−6×2
Multiply the numbers
6x−12
(6x−12)(x−1)
Apply the distributive property
6x×x−6x×1−12x−(−12×1)
Multiply the terms
6x2−6x×1−12x−(−12×1)
Any expression multiplied by 1 remains the same
6x2−6x−12x−(−12×1)
Any expression multiplied by 1 remains the same
6x2−6x−12x−(−12)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6x2−6x−12x+12
Subtract the terms
More Steps

Evaluate
−6x−12x
Collect like terms by calculating the sum or difference of their coefficients
(−6−12)x
Subtract the numbers
−18x
6x2−18x+12
6x2−18x+12=4x3
Move the expression to the left side
6x2−18x+12−4x3=0
Factor the expression
2(3x2−9x+6−2x3)=0
Divide both sides
3x2−9x+6−2x3=0
Calculate
x≈0.761877x≈0.369061+1.949727ix≈0.369061−1.949727i
Solution
x1≈0.369061−1.949727i,x2≈0.369061+1.949727i,x3≈0.761877
Show Solution
