Question
Solve the quadratic equation
Solve by factoring
Solve using the quadratic formula
Solve by completing the square
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x1=0,x2=4
Evaluate
(x−3)(3x−3)=9
Expand the expression
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Evaluate
(x−3)(3x−3)
Apply the distributive property
x×3x−x×3−3×3x−(−3×3)
Multiply the terms
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Evaluate
x×3x
Use the commutative property to reorder the terms
3x×x
Multiply the terms
3x2
3x2−x×3−3×3x−(−3×3)
Use the commutative property to reorder the terms
3x2−3x−3×3x−(−3×3)
Multiply the numbers
3x2−3x−9x−(−3×3)
Multiply the numbers
3x2−3x−9x−(−9)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3x2−3x−9x+9
Subtract the terms
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Evaluate
−3x−9x
Collect like terms by calculating the sum or difference of their coefficients
(−3−9)x
Subtract the numbers
−12x
3x2−12x+9
3x2−12x+9=9
Move the expression to the left side
3x2−12x=0
Factor the expression
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Evaluate
3x2−12x
Rewrite the expression
3x×x−3x×4
Factor out 3x from the expression
3x(x−4)
3x(x−4)=0
When the product of factors equals 0,at least one factor is 0
x−4=03x=0
Solve the equation for x
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Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=43x=0
Solve the equation for x
x=4x=0
Solution
x1=0,x2=4
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