Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2x2−2x3+3x+2
Evaluate
(4x2−2x3)−(2x2−3x−2)
Remove the parentheses
4x2−2x3−(2x2−3x−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x2−2x3−2x2+3x+2
Solution
More Steps
Evaluate
4x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(4−2)x2
Subtract the numbers
2x2
2x2−2x3+3x+2
Show Solution
Factor the expression
−(x−2)(2x+2x2+1)
Evaluate
(4x2−2x3)−(2x2−3x−2)
Remove the parentheses
4x2−2x3−(2x2−3x−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x2−2x3−2x2+3x+2
Subtract the terms
More Steps
Evaluate
4x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(4−2)x2
Subtract the numbers
2x2
2x2−2x3+3x+2
Calculate
−2x2−2x3−x+4x+4x2+2
Rewrite the expression
−x×2x−x×2x2−x+2×2x+2×2x2+2
Factor out −x from the expression
−x(2x+2x2+1)+2×2x+2×2x2+2
Factor out 2 from the expression
−x(2x+2x2+1)+2(2x+2x2+1)
Factor out 2x+2x2+1 from the expression
(−x+2)(2x+2x2+1)
Solution
−(x−2)(2x+2x2+1)
Show Solution
Find the roots
x1=−21−21i,x2=−21+21i,x3=2
Alternative Form
x1=−0.5−0.5i,x2=−0.5+0.5i,x3=2
Evaluate
(4x2−2x3)−(2x2−3x−2)
To find the roots of the expression,set the expression equal to 0
(4x2−2x3)−(2x2−3x−2)=0
Remove the parentheses
4x2−2x3−(2x2−3x−2)=0
Subtract the terms
More Steps
Simplify
4x2−2x3−(2x2−3x−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
4x2−2x3−2x2+3x+2
Subtract the terms
More Steps
Evaluate
4x2−2x2
Collect like terms by calculating the sum or difference of their coefficients
(4−2)x2
Subtract the numbers
2x2
2x2−2x3+3x+2
2x2−2x3+3x+2=0
Factor the expression
(−x+2)(2x+2x2+1)=0
Separate the equation into 2 possible cases
−x+2=02x+2x2+1=0
Solve the equation
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
Change the signs on both sides of the equation
x=2
x=22x+2x2+1=0
Solve the equation
More Steps
Evaluate
2x+2x2+1=0
Rewrite in standard form
2x2+2x+1=0
Substitute a=2,b=2 and c=1 into the quadratic formula x=2a−b±b2−4ac
x=2×2−2±22−4×2
Simplify the expression
x=4−2±22−4×2
Simplify the expression
More Steps
Evaluate
22−4×2
Multiply the numbers
22−8
Evaluate the power
4−8
Subtract the numbers
−4
x=4−2±−4
Simplify the radical expression
More Steps
Evaluate
−4
Evaluate the power
4×−1
Evaluate the power
4×i
Evaluate the square root
2i
x=4−2±2i
Separate the equation into 2 possible cases
x=4−2+2ix=4−2−2i
Simplify the expression
x=−21+21ix=4−2−2i
Simplify the expression
x=−21+21ix=−21−21i
x=2x=−21+21ix=−21−21i
Solution
x1=−21−21i,x2=−21+21i,x3=2
Alternative Form
x1=−0.5−0.5i,x2=−0.5+0.5i,x3=2
Show Solution