Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
252x2−9072−10x5+360x3
Evaluate
(126−5x3)(2x2×1−72)
Multiply the terms
(126−5x3)(2x2−72)
Apply the distributive property
126×2x2−126×72−5x3×2x2−(−5x3×72)
Multiply the numbers
252x2−126×72−5x3×2x2−(−5x3×72)
Multiply the numbers
252x2−9072−5x3×2x2−(−5x3×72)
Multiply the terms
More Steps
Evaluate
−5x3×2x2
Multiply the numbers
−10x3×x2
Multiply the terms
More Steps
Evaluate
x3×x2
Use the product rule an×am=an+m to simplify the expression
x3+2
Add the numbers
x5
−10x5
252x2−9072−10x5−(−5x3×72)
Multiply the numbers
252x2−9072−10x5−(−360x3)
Solution
252x2−9072−10x5+360x3
Show Solution
Factor the expression
2(126−5x3)(x−6)(x+6)
Evaluate
(126−5x3)(2x2×1−72)
Multiply the terms
(126−5x3)(2x2−72)
Use a2−b2=(a−b)(a+b) to factor the expression
(126−5x3)×2(x−6)(x+6)
Solution
2(126−5x3)(x−6)(x+6)
Show Solution
Find the roots
x1=−6,x2=533150,x3=6
Alternative Form
x1=−6,x2≈2.931794,x3=6
Evaluate
(126−5x3)(2x2×1−72)
To find the roots of the expression,set the expression equal to 0
(126−5x3)(2x2×1−72)=0
Multiply the terms
(126−5x3)(2x2−72)=0
Separate the equation into 2 possible cases
126−5x3=02x2−72=0
Solve the equation
More Steps
Evaluate
126−5x3=0
Move the constant to the right-hand side and change its sign
−5x3=0−126
Removing 0 doesn't change the value,so remove it from the expression
−5x3=−126
Change the signs on both sides of the equation
5x3=126
Divide both sides
55x3=5126
Divide the numbers
x3=5126
Take the 3-th root on both sides of the equation
3x3=35126
Calculate
x=35126
Simplify the root
More Steps
Evaluate
35126
To take a root of a fraction,take the root of the numerator and denominator separately
353126
Multiply by the Conjugate
35×3523126×352
Simplify
35×3523126×325
Multiply the numbers
35×35233150
Multiply the numbers
533150
x=533150
x=5331502x2−72=0
Solve the equation
More Steps
Evaluate
2x2−72=0
Move the constant to the right-hand side and change its sign
2x2=0+72
Removing 0 doesn't change the value,so remove it from the expression
2x2=72
Divide both sides
22x2=272
Divide the numbers
x2=272
Divide the numbers
More Steps
Evaluate
272
Reduce the numbers
136
Calculate
36
x2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±36
Simplify the expression
More Steps
Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
x=±6
Separate the equation into 2 possible cases
x=6x=−6
x=533150x=6x=−6
Solution
x1=−6,x2=533150,x3=6
Alternative Form
x1=−6,x2≈2.931794,x3=6
Show Solution