Question
Simplify the expression
−30x2−312
Evaluate
9x2−4x2−5x×7x−312
Multiply
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Multiply the terms
−5x×7x
Multiply the terms
−35x×x
Multiply the terms
−35x2
9x2−4x2−35x2−312
Solution
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Evaluate
9x2−4x2−35x2
Collect like terms by calculating the sum or difference of their coefficients
(9−4−35)x2
Subtract the numbers
−30x2
−30x2−312
Show Solution

Factor the expression
−6(5x2+52)
Evaluate
9x2−4x2−5x×7x−312
Multiply
More Steps

Multiply the terms
5x×7x
Multiply the terms
35x×x
Multiply the terms
35x2
9x2−4x2−35x2−312
Subtract the terms
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Simplify
9x2−4x2
Collect like terms by calculating the sum or difference of their coefficients
(9−4)x2
Subtract the numbers
5x2
5x2−35x2−312
Subtract the terms
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Simplify
5x2−35x2
Collect like terms by calculating the sum or difference of their coefficients
(5−35)x2
Subtract the numbers
−30x2
−30x2−312
Solution
−6(5x2+52)
Show Solution

Find the roots
x1=−5265i,x2=5265i
Alternative Form
x1≈−3.224903i,x2≈3.224903i
Evaluate
9x2−4x2−5x×7x−312
To find the roots of the expression,set the expression equal to 0
9x2−4x2−5x×7x−312=0
Multiply
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Multiply the terms
5x×7x
Multiply the terms
35x×x
Multiply the terms
35x2
9x2−4x2−35x2−312=0
Subtract the terms
More Steps

Simplify
9x2−4x2
Collect like terms by calculating the sum or difference of their coefficients
(9−4)x2
Subtract the numbers
5x2
5x2−35x2−312=0
Subtract the terms
More Steps

Simplify
5x2−35x2
Collect like terms by calculating the sum or difference of their coefficients
(5−35)x2
Subtract the numbers
−30x2
−30x2−312=0
Move the constant to the right-hand side and change its sign
−30x2=0+312
Removing 0 doesn't change the value,so remove it from the expression
−30x2=312
Change the signs on both sides of the equation
30x2=−312
Divide both sides
3030x2=30−312
Divide the numbers
x2=30−312
Divide the numbers
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Evaluate
30−312
Cancel out the common factor 6
5−52
Use b−a=−ba=−ba to rewrite the fraction
−552
x2=−552
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−552
Simplify the expression
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Evaluate
−552
Evaluate the power
552×−1
Evaluate the power
552×i
Evaluate the power
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Evaluate
552
To take a root of a fraction,take the root of the numerator and denominator separately
552
Simplify the radical expression
5213
Multiply by the Conjugate
5×5213×5
Multiply the numbers
5×5265
When a square root of an expression is multiplied by itself,the result is that expression
5265
5265i
x=±5265i
Separate the equation into 2 possible cases
x=5265ix=−5265i
Solution
x1=−5265i,x2=5265i
Alternative Form
x1≈−3.224903i,x2≈3.224903i
Show Solution
