Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2−3x−4
Evaluate
x(x−3)−4
Solution
More Steps
Evaluate
x(x−3)
Apply the distributive property
x×x−x×3
Multiply the terms
x2−x×3
Use the commutative property to reorder the terms
x2−3x
x2−3x−4
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Factor the expression
(x−4)(x+1)
Evaluate
x(x−3)−4
Simplify
More Steps
Evaluate
x(x−3)
Apply the distributive property
x×x+x(−3)
Multiply the terms
x2+x(−3)
Use the commutative property to reorder the terms
x2−3x
x2−3x−4
Rewrite the expression
x2+(1−4)x−4
Calculate
x2+x−4x−4
Rewrite the expression
x×x+x−4x−4
Factor out x from the expression
x(x+1)−4x−4
Factor out −4 from the expression
x(x+1)−4(x+1)
Solution
(x−4)(x+1)
Show Solution
Find the roots
x1=−1,x2=4
Evaluate
x(x−3)−4
To find the roots of the expression,set the expression equal to 0
x(x−3)−4=0
Calculate
More Steps
Evaluate
x(x−3)
Apply the distributive property
x×x−x×3
Multiply the terms
x2−x×3
Use the commutative property to reorder the terms
x2−3x
x2−3x−4=0
Factor the expression
More Steps
Evaluate
x2−3x−4
Rewrite the expression
x2+(1−4)x−4
Calculate
x2+x−4x−4
Rewrite the expression
x×x+x−4x−4
Factor out x from the expression
x(x+1)−4x−4
Factor out −4 from the expression
x(x+1)−4(x+1)
Factor out x+1 from the expression
(x−4)(x+1)
(x−4)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−4=0x+1=0
Solve the equation for x
More Steps
Evaluate
x−4=0
Move the constant to the right-hand side and change its sign
x=0+4
Removing 0 doesn't change the value,so remove it from the expression
x=4
x=4x+1=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=4x=−1
Solution
x1=−1,x2=4
Show Solution