Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2c2−1800
Evaluate
c2×2−300−1500
Use the commutative property to reorder the terms
2c2−300−1500
Solution
2c2−1800
Show Solution
Factor the expression
2(c−30)(c+30)
Evaluate
c2×2−300−1500
Use the commutative property to reorder the terms
2c2−300−1500
Subtract the numbers
2c2−1800
Solution
2(c−30)(c+30)
Show Solution
Find the roots
c1=−30,c2=30
Evaluate
c2×2−300−1500
To find the roots of the expression,set the expression equal to 0
c2×2−300−1500=0
Use the commutative property to reorder the terms
2c2−300−1500=0
Subtract the numbers
2c2−1800=0
Move the constant to the right-hand side and change its sign
2c2=0+1800
Removing 0 doesn't change the value,so remove it from the expression
2c2=1800
Divide both sides
22c2=21800
Divide the numbers
c2=21800
Divide the numbers
More Steps
Evaluate
21800
Reduce the numbers
1900
Calculate
900
c2=900
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±900
Simplify the expression
More Steps
Evaluate
900
Write the number in exponential form with the base of 30
302
Reduce the index of the radical and exponent with 2
30
c=±30
Separate the equation into 2 possible cases
c=30c=−30
Solution
c1=−30,c2=30
Show Solution