Question
Simplify the expression
12x2−36x
Evaluate
2(x−3)×2(x×1)×3
Remove the parentheses
2(x−3)×2x×1×3
Rewrite the expression
2(x−3)×2x×3
Multiply the terms
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Evaluate
2×2×3
Multiply the terms
4×3
Multiply the numbers
12
12(x−3)x
Multiply the terms
12x(x−3)
Apply the distributive property
12x×x−12x×3
Multiply the terms
12x2−12x×3
Solution
12x2−36x
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Find the roots
x1=0,x2=3
Evaluate
2(x−3)×2(x×1)×3
To find the roots of the expression,set the expression equal to 0
2(x−3)×2(x×1)×3=0
Any expression multiplied by 1 remains the same
2(x−3)×2x×3=0
Multiply
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Multiply the terms
2(x−3)×2x×3
Multiply the terms
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Evaluate
2×2×3
Multiply the terms
4×3
Multiply the numbers
12
12(x−3)x
Multiply the terms
12x(x−3)
12x(x−3)=0
Elimination the left coefficient
x(x−3)=0
Separate the equation into 2 possible cases
x=0x−3=0
Solve the equation
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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=0x=3
Solution
x1=0,x2=3
Show Solution
