Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x2+68820x
Evaluate
x2−62ix×1110i
Multiply the terms
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Multiply the terms
62ix×1110i
Multiply the numbers
68820ixi
Multiply the numbers
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Evaluate
68820i×i
Multiply
68820i2
Use i2=−1 to transform the expression
68820(−1)
Calculate
−68820
−68820x
x2−(−68820x)
Solution
x2+68820x
Show Solution
Factor the expression
x(x+68820)
Evaluate
x2−62ix×1110i
Multiply the terms
More Steps
Multiply the terms
62ix×1110i
Multiply the numbers
68820ixi
Multiply the numbers
More Steps
Evaluate
68820i×i
Multiply
68820i2
Use i2=−1 to transform the expression
68820(−1)
Calculate
−68820
−68820x
x2−(−68820x)
Rewrite the expression
x2+68820x
Rewrite the expression
x×x+x×68820
Solution
x(x+68820)
Show Solution
Find the roots
x1=−68820,x2=0
Evaluate
x2−(62i)x×1110i
To find the roots of the expression,set the expression equal to 0
x2−(62i)x×1110i=0
Multiply the numbers
x2−62ix×1110i=0
Multiply the terms
More Steps
Multiply the terms
62ix×1110i
Multiply the numbers
68820ixi
Multiply the numbers
More Steps
Evaluate
68820i×i
Multiply
68820i2
Use i2=−1 to transform the expression
68820(−1)
Calculate
−68820
−68820x
x2−(−68820x)=0
Rewrite the expression
x2+68820x=0
Factor the expression
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Evaluate
x2+68820x
Rewrite the expression
x×x+x×68820
Factor out x from the expression
x(x+68820)
x(x+68820)=0
When the product of factors equals 0,at least one factor is 0
x=0x+68820=0
Solve the equation for x
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Evaluate
x+68820=0
Move the constant to the right-hand side and change its sign
x=0−68820
Removing 0 doesn't change the value,so remove it from the expression
x=−68820
x=0x=−68820
Solution
x1=−68820,x2=0
Show Solution