Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x1=−3,x2=−2,x3=1
Evaluate
x(x2+4x+4)=3(x+2)
Calculate
More Steps
Evaluate
x(x2+4x+4)
Apply the distributive property
x×x2+x×4x+x×4
Multiply the terms
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Evaluate
x×x2
Use the product rule an×am=an+m to simplify the expression
x1+2
Add the numbers
x3
x3+x×4x+x×4
Multiply the terms
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Evaluate
x×4x
Use the commutative property to reorder the terms
4x×x
Multiply the terms
4x2
x3+4x2+x×4
Use the commutative property to reorder the terms
x3+4x2+4x
x3+4x2+4x=3(x+2)
Calculate
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Evaluate
3(x+2)
Apply the distributive property
3x+3×2
Multiply the numbers
3x+6
x3+4x2+4x=3x+6
Move the expression to the left side
x3+4x2+4x−(3x+6)=0
Calculate the sum or difference
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Add the terms
x3+4x2+4x−(3x+6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3+4x2+4x−3x−6
Subtract the terms
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Evaluate
4x−3x
Collect like terms by calculating the sum or difference of their coefficients
(4−3)x
Subtract the numbers
x
x3+4x2+x−6
x3+4x2+x−6=0
Factor the expression
(x−1)(x+2)(x+3)=0
Separate the equation into 3 possible cases
x−1=0x+2=0x+3=0
Solve the equation
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Evaluate
x−1=0
Move the constant to the right-hand side and change its sign
x=0+1
Removing 0 doesn't change the value,so remove it from the expression
x=1
x=1x+2=0x+3=0
Solve the equation
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Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0−2
Removing 0 doesn't change the value,so remove it from the expression
x=−2
x=1x=−2x+3=0
Solve the equation
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0−3
Removing 0 doesn't change the value,so remove it from the expression
x=−3
x=1x=−2x=−3
Solution
x1=−3,x2=−2,x3=1
Show Solution
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