Question
Simplify the expression
10x2−30x−60
Evaluate
10(x2−3x−6)
Apply the distributive property
10x2−10×3x−10×6
Multiply the numbers
10x2−30x−10×6
Solution
10x2−30x−60
Show Solution

Find the roots
x1=23−33,x2=23+33
Alternative Form
x1≈−1.372281,x2≈4.372281
Evaluate
10(x2−3x−6)
To find the roots of the expression,set the expression equal to 0
10(x2−3x−6)=0
Rewrite the expression
x2−3x−6=0
Substitute a=1,b=−3 and c=−6 into the quadratic formula x=2a−b±b2−4ac
x=23±(−3)2−4(−6)
Simplify the expression
More Steps

Evaluate
(−3)2−4(−6)
Multiply the numbers
More Steps

Evaluate
4(−6)
Multiplying or dividing an odd number of negative terms equals a negative
−4×6
Multiply the numbers
−24
(−3)2−(−24)
Rewrite the expression
32−(−24)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
32+24
Evaluate the power
9+24
Add the numbers
33
x=23±33
Separate the equation into 2 possible cases
x=23+33x=23−33
Solution
x1=23−33,x2=23+33
Alternative Form
x1≈−1.372281,x2≈4.372281
Show Solution
