Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(h−4)(h+3)
Evaluate
h2−h−12
Rewrite the expression
h2+(3−4)h−12
Calculate
h2+3h−4h−12
Rewrite the expression
h×h+h×3−4h−4×3
Factor out h from the expression
h(h+3)−4h−4×3
Factor out −4 from the expression
h(h+3)−4(h+3)
Solution
(h−4)(h+3)
Show Solution
Find the roots
h1=−3,h2=4
Evaluate
h2−h−12
To find the roots of the expression,set the expression equal to 0
h2−h−12=0
Factor the expression
More Steps
Evaluate
h2−h−12
Rewrite the expression
h2+(3−4)h−12
Calculate
h2+3h−4h−12
Rewrite the expression
h×h+h×3−4h−4×3
Factor out h from the expression
h(h+3)−4h−4×3
Factor out −4 from the expression
h(h+3)−4(h+3)
Factor out h+3 from the expression
(h−4)(h+3)
(h−4)(h+3)=0
When the product of factors equals 0,at least one factor is 0
h−4=0h+3=0
Solve the equation for h
More Steps
Evaluate
h−4=0
Move the constant to the right-hand side and change its sign
h=0+4
Removing 0 doesn't change the value,so remove it from the expression
h=4
h=4h+3=0
Solve the equation for h
More Steps
Evaluate
h+3=0
Move the constant to the right-hand side and change its sign
h=0−3
Removing 0 doesn't change the value,so remove it from the expression
h=−3
h=4h=−3
Solution
h1=−3,h2=4
Show Solution