Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2+10x
Evaluate
(−x)2−2(−x)×5
Multiply
More Steps
Multiply the terms
2(−x)×5
Any expression multiplied by 1 remains the same
−2x×5
Multiply the terms
−10x
(−x)2−(−10x)
Rewrite the expression
(−x)2+10x
Solution
x2+10x
Show Solution
Factor the expression
(x+10)x
Evaluate
(−x)2−2(−x)×5
Multiply
More Steps
Multiply the terms
2(−x)×5
Any expression multiplied by 1 remains the same
−2x×5
Multiply the terms
−10x
(−x)2−(−10x)
Rewrite the expression
(−x)2+10x
Rewrite the expression
x×x+10x
Solution
(x+10)x
Show Solution
Find the roots
x1=−10,x2=0
Evaluate
(−x)2−2(−x)×5
To find the roots of the expression,set the expression equal to 0
(−x)2−2(−x)×5=0
Multiply
More Steps
Multiply the terms
2(−x)×5
Any expression multiplied by 1 remains the same
−2x×5
Multiply the terms
−10x
(−x)2−(−10x)=0
Subtract the terms
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Simplify
(−x)2−(−10x)
Rewrite the expression
(−x)2+10x
Rewrite the expression
x2+10x
x2+10x=0
Factor the expression
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Evaluate
x2+10x
Rewrite the expression
x×x+x×10
Factor out x from the expression
x(x+10)
x(x+10)=0
When the product of factors equals 0,at least one factor is 0
x=0x+10=0
Solve the equation for x
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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=0x=−10
Solution
x1=−10,x2=0
Show Solution