Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−10)(x+7)
Evaluate
x2−3x−70
Rewrite the expression
x2+(7−10)x−70
Calculate
x2+7x−10x−70
Rewrite the expression
x×x+x×7−10x−10×7
Factor out x from the expression
x(x+7)−10x−10×7
Factor out −10 from the expression
x(x+7)−10(x+7)
Solution
(x−10)(x+7)
Show Solution
Find the roots
x1=−7,x2=10
Evaluate
x2−3x−70
To find the roots of the expression,set the expression equal to 0
x2−3x−70=0
Factor the expression
More Steps
Evaluate
x2−3x−70
Rewrite the expression
x2+(7−10)x−70
Calculate
x2+7x−10x−70
Rewrite the expression
x×x+x×7−10x−10×7
Factor out x from the expression
x(x+7)−10x−10×7
Factor out −10 from the expression
x(x+7)−10(x+7)
Factor out x+7 from the expression
(x−10)(x+7)
(x−10)(x+7)=0
When the product of factors equals 0,at least one factor is 0
x−10=0x+7=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+7=0
Solve the equation for x
More Steps
Evaluate
x+7=0
Move the constant to the right-hand side and change its sign
x=0−7
Removing 0 doesn't change the value,so remove it from the expression
x=−7
x=10x=−7
Solution
x1=−7,x2=10
Show Solution