Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
24x2−10x
Evaluate
12x(x×2)−5(2x×1)
Remove the parentheses
12x×x×2−5×2x×1
Multiply
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Multiply the terms
12x×x×2
Multiply the terms
24x×x
Multiply the terms
24x2
24x2−5×2x×1
Solution
More Steps
Multiply the terms
5×2x×1
Rewrite the expression
5×2x
Multiply the terms
10x
24x2−10x
Show Solution
Factor the expression
2x(12x−5)
Evaluate
12x(x×2)−5(2x×1)
Remove the parentheses
12x×x×2−5×2x×1
Use the commutative property to reorder the terms
12x×2x−5×2x×1
Multiply
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Multiply the terms
12x×2x
Multiply the terms
24x×x
Multiply the terms
24x2
24x2−5×2x×1
Multiply the terms
24x2−5×2x
Multiply the numbers
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Evaluate
5×2
Multiply the numbers
10
Evaluate
10x
24x2−10x
Rewrite the expression
2x×12x−2x×5
Solution
2x(12x−5)
Show Solution
Find the roots
x1=0,x2=125
Alternative Form
x1=0,x2=0.416˙
Evaluate
12x(x×2)−5(2x×1)
To find the roots of the expression,set the expression equal to 0
12x(x×2)−5(2x×1)=0
Use the commutative property to reorder the terms
12x×2x−5(2x×1)=0
Multiply the terms
12x×2x−5×2x=0
Multiply
More Steps
Multiply the terms
12x×2x
Multiply the terms
24x×x
Multiply the terms
24x2
24x2−5×2x=0
Multiply the numbers
24x2−10x=0
Factor the expression
More Steps
Evaluate
24x2−10x
Rewrite the expression
2x×12x−2x×5
Factor out 2x from the expression
2x(12x−5)
2x(12x−5)=0
When the product of factors equals 0,at least one factor is 0
2x=012x−5=0
Solve the equation for x
x=012x−5=0
Solve the equation for x
More Steps
Evaluate
12x−5=0
Move the constant to the right-hand side and change its sign
12x=0+5
Removing 0 doesn't change the value,so remove it from the expression
12x=5
Divide both sides
1212x=125
Divide the numbers
x=125
x=0x=125
Solution
x1=0,x2=125
Alternative Form
x1=0,x2=0.416˙
Show Solution