Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(x−10)(x+9)
Evaluate
2x2−2x−180
Rewrite the expression
2x2−2x−2×90
Factor out 2 from the expression
2(x2−x−90)
Solution
More Steps
Evaluate
x2−x−90
Rewrite the expression
x2+(9−10)x−90
Calculate
x2+9x−10x−90
Rewrite the expression
x×x+x×9−10x−10×9
Factor out x from the expression
x(x+9)−10x−10×9
Factor out −10 from the expression
x(x+9)−10(x+9)
Factor out x+9 from the expression
(x−10)(x+9)
2(x−10)(x+9)
Show Solution
Find the roots
x1=−9,x2=10
Evaluate
2x2−2x−180
To find the roots of the expression,set the expression equal to 0
2x2−2x−180=0
Factor the expression
More Steps
Evaluate
2x2−2x−180
Rewrite the expression
2x2−2x−2×90
Factor out 2 from the expression
2(x2−x−90)
Factor the expression
More Steps
Evaluate
x2−x−90
Rewrite the expression
x2+(9−10)x−90
Calculate
x2+9x−10x−90
Rewrite the expression
x×x+x×9−10x−10×9
Factor out x from the expression
x(x+9)−10x−10×9
Factor out −10 from the expression
x(x+9)−10(x+9)
Factor out x+9 from the expression
(x−10)(x+9)
2(x−10)(x+9)
2(x−10)(x+9)=0
Divide the terms
(x−10)(x+9)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+9=0
Solve the equation for x
More Steps
Evaluate
x−10=0
Move the constant to the right-hand side and change its sign
x=0+10
Removing 0 doesn't change the value,so remove it from the expression
x=10
x=10x+9=0
Solve the equation for x
More Steps
Evaluate
x+9=0
Move the constant to the right-hand side and change its sign
x=0−9
Removing 0 doesn't change the value,so remove it from the expression
x=−9
x=10x=−9
Solution
x1=−9,x2=10
Show Solution