Question
Simplify the expression
−2x2+2x+4
Evaluate
(x−2)2−3x(x−2)
Expand the expression
x2−4x+4−3x(x−2)
Expand the expression
More Steps

Calculate
−3x(x−2)
Apply the distributive property
−3x×x−(−3x×2)
Multiply the terms
−3x2−(−3x×2)
Multiply the numbers
−3x2−(−6x)
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+6x
x2−4x+4−3x2+6x
Subtract the terms
More Steps

Evaluate
x2−3x2
Collect like terms by calculating the sum or difference of their coefficients
(1−3)x2
Subtract the numbers
−2x2
−2x2−4x+4+6x
Solution
More Steps

Evaluate
−4x+6x
Collect like terms by calculating the sum or difference of their coefficients
(−4+6)x
Add the numbers
2x
−2x2+2x+4
Show Solution

Factor the expression
−2(x+1)(x−2)
Evaluate
(x−2)2−3x(x−2)
Rewrite the expression
(x−2)(x−2)−3x(x−2)
Factor out x−2 from the expression
(x−2−3x)(x−2)
Solution
More Steps

Evaluate
x−2−3x
Subtract the terms
More Steps

Evaluate
x−3x
Collect like terms by calculating the sum or difference of their coefficients
(1−3)x
Subtract the numbers
−2x
−2x−2
Factor the expression
−2(x+1)
−2(x+1)(x−2)
Show Solution

Find the roots
x1=−1,x2=2
Evaluate
(x−2)2−3x(x−2)
To find the roots of the expression,set the expression equal to 0
(x−2)2−3x(x−2)=0
Calculate
More Steps

Evaluate
(x−2)2−3x(x−2)
Expand the expression
x2−4x+4−3x(x−2)
Expand the expression
More Steps

Calculate
−3x(x−2)
Apply the distributive property
−3x×x−(−3x×2)
Multiply the terms
−3x2−(−3x×2)
Multiply the numbers
−3x2−(−6x)
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+6x
x2−4x+4−3x2+6x
Subtract the terms
More Steps

Evaluate
x2−3x2
Collect like terms by calculating the sum or difference of their coefficients
(1−3)x2
Subtract the numbers
−2x2
−2x2−4x+4+6x
Add the terms
More Steps

Evaluate
−4x+6x
Collect like terms by calculating the sum or difference of their coefficients
(−4+6)x
Add the numbers
2x
−2x2+2x+4
−2x2+2x+4=0
Factor the expression
More Steps

Evaluate
−2x2+2x+4
Rewrite the expression
−2x2+2x+2×2
Factor out −2 from the expression
−2(x2−x−2)
Factor the expression
More Steps

Evaluate
x2−x−2
Rewrite the expression
x2+(1−2)x−2
Calculate
x2+x−2x−2
Rewrite the expression
x×x+x−2x−2
Factor out x from the expression
x(x+1)−2x−2
Factor out −2 from the expression
x(x+1)−2(x+1)
Factor out x+1 from the expression
(x−2)(x+1)
−2(x−2)(x+1)
−2(x−2)(x+1)=0
Divide the terms
(x−2)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−2=0x+1=0
Solve the equation for x
More Steps

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=2x+1=0
Solve the equation for x
More Steps

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=2x=−1
Solution
x1=−1,x2=2
Show Solution
