Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(10x−3)(10x+1)
Evaluate
100x2−20x−3
Rewrite the expression
100x2+(10−30)x−3
Calculate
100x2+10x−30x−3
Rewrite the expression
10x×10x+10x−3×10x−3
Factor out 10x from the expression
10x(10x+1)−3×10x−3
Factor out −3 from the expression
10x(10x+1)−3(10x+1)
Solution
(10x−3)(10x+1)
Show Solution
Find the roots
x1=−101,x2=103
Alternative Form
x1=−0.1,x2=0.3
Evaluate
100x2−20x−3
To find the roots of the expression,set the expression equal to 0
100x2−20x−3=0
Factor the expression
More Steps
Evaluate
100x2−20x−3
Rewrite the expression
100x2+(10−30)x−3
Calculate
100x2+10x−30x−3
Rewrite the expression
10x×10x+10x−3×10x−3
Factor out 10x from the expression
10x(10x+1)−3×10x−3
Factor out −3 from the expression
10x(10x+1)−3(10x+1)
Factor out 10x+1 from the expression
(10x−3)(10x+1)
(10x−3)(10x+1)=0
When the product of factors equals 0,at least one factor is 0
10x−3=010x+1=0
Solve the equation for x
More Steps
Evaluate
10x−3=0
Move the constant to the right-hand side and change its sign
10x=0+3
Removing 0 doesn't change the value,so remove it from the expression
10x=3
Divide both sides
1010x=103
Divide the numbers
x=103
x=10310x+1=0
Solve the equation for x
More Steps
Evaluate
10x+1=0
Move the constant to the right-hand side and change its sign
10x=0−1
Removing 0 doesn't change the value,so remove it from the expression
10x=−1
Divide both sides
1010x=10−1
Divide the numbers
x=10−1
Use b−a=−ba=−ba to rewrite the fraction
x=−101
x=103x=−101
Solution
x1=−101,x2=103
Alternative Form
x1=−0.1,x2=0.3
Show Solution