Question
Factor the expression
Factor
2(x+5)(2x−1)
Evaluate
4x2+18x−10
Rewrite the expression
2×2x2+2×9x−2×5
Factor out 2 from the expression
2(2x2+9x−5)
Solution
More Steps
Evaluate
2x2+9x−5
Rewrite the expression
2x2+(−1+10)x−5
Calculate
2x2−x+10x−5
Rewrite the expression
x×2x−x+5×2x−5
Factor out x from the expression
x(2x−1)+5×2x−5
Factor out 5 from the expression
x(2x−1)+5(2x−1)
Factor out 2x−1 from the expression
(x+5)(2x−1)
2(x+5)(2x−1)
Show Solution
Find the roots
Find the roots of the algebra expression
x1=−5,x2=21
Alternative Form
x1=−5,x2=0.5
Evaluate
4x2+18x−10
To find the roots of the expression,set the expression equal to 0
4x2+18x−10=0
Factor the expression
More Steps
Evaluate
4x2+18x−10
Rewrite the expression
2×2x2+2×9x−2×5
Factor out 2 from the expression
2(2x2+9x−5)
Factor the expression
More Steps
Evaluate
2x2+9x−5
Rewrite the expression
2x2+(−1+10)x−5
Calculate
2x2−x+10x−5
Rewrite the expression
x×2x−x+5×2x−5
Factor out x from the expression
x(2x−1)+5×2x−5
Factor out 5 from the expression
x(2x−1)+5(2x−1)
Factor out 2x−1 from the expression
(x+5)(2x−1)
2(x+5)(2x−1)
2(x+5)(2x−1)=0
Divide the terms
(x+5)(2x−1)=0
When the product of factors equals 0,at least one factor is 0
x+5=02x−1=0
Solve the equation for x
More Steps
Evaluate
x+5=0
Move the constant to the right-hand side and change its sign
x=0−5
Removing 0 doesn't change the value,so remove it from the expression
x=−5
x=−52x−1=0
Solve the equation for x
More Steps
Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=−5x=21
Solution
x1=−5,x2=21
Alternative Form
x1=−5,x2=0.5
Show Solution