Question
Simplify the expression
228x2−x
Evaluate
12x2−x−6×6x(−6x)
Multiply
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Multiply the terms
−6×6x(−6x)
Rewrite the expression
6×6x×6x
Multiply the terms with the same base by adding their exponents
61+1+1x×x
Add the numbers
63x×x
Multiply the terms
63x2
12x2−x+63x2
Evaluate the power
12x2−x+216x2
Solution
More Steps

Evaluate
12x2+216x2
Collect like terms by calculating the sum or difference of their coefficients
(12+216)x2
Add the numbers
228x2
228x2−x
Show Solution

Factor the expression
x(228x−1)
Evaluate
12x2−x−6×6x(−6x)
Multiply
More Steps

Multiply the terms
6×6x(−6x)
Rewrite the expression
−6×6x×6x
Multiply the terms with the same base by adding their exponents
−61+1+1x×x
Add the numbers
−63x×x
Multiply the terms
−63x2
12x2−x−(−63x2)
Rewrite the expression
12x2−x+63x2
Add the terms
More Steps

Evaluate
12x2+63x2
Collect like terms by calculating the sum or difference of their coefficients
(12+63)x2
Add the numbers
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Evaluate
12+63
Rewrite the expression
12+216
Add the numbers
228
228x2
228x2−x
Rewrite the expression
x×228x−x
Solution
x(228x−1)
Show Solution

Find the roots
x1=0,x2=2281
Alternative Form
x1=0,x2≈0.004386
Evaluate
12x2−x−6(6x)(−6x)
To find the roots of the expression,set the expression equal to 0
12x2−x−6(6x)(−6x)=0
Multiply the terms
12x2−x−6×6x(−6x)=0
Multiply
More Steps

Multiply the terms
6×6x(−6x)
Rewrite the expression
−6×6x×6x
Multiply the terms with the same base by adding their exponents
−61+1+1x×x
Add the numbers
−63x×x
Multiply the terms
−63x2
12x2−x−(−63x2)=0
Subtract the terms
More Steps

Simplify
12x2−x−(−63x2)
Rewrite the expression
12x2−x+63x2
Evaluate the power
12x2−x+216x2
Add the terms
More Steps

Evaluate
12x2+216x2
Collect like terms by calculating the sum or difference of their coefficients
(12+216)x2
Add the numbers
228x2
228x2−x
228x2−x=0
Factor the expression
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Evaluate
228x2−x
Rewrite the expression
x×228x−x
Factor out x from the expression
x(228x−1)
x(228x−1)=0
When the product of factors equals 0,at least one factor is 0
x=0228x−1=0
Solve the equation for x
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Evaluate
228x−1=0
Move the constant to the right-hand side and change its sign
228x=0+1
Removing 0 doesn't change the value,so remove it from the expression
228x=1
Divide both sides
228228x=2281
Divide the numbers
x=2281
x=0x=2281
Solution
x1=0,x2=2281
Alternative Form
x1=0,x2≈0.004386
Show Solution
