Question
Simplify the expression
7r2−352r4
Evaluate
7r2−44r4×8
Solution
7r2−352r4
Show Solution

Factor the expression
r2(7−352r2)
Evaluate
7r2−44r4×8
Multiply the terms
7r2−352r4
Rewrite the expression
r2×7−r2×352r2
Solution
r2(7−352r2)
Show Solution

Find the roots
r1=−88154,r2=0,r3=88154
Alternative Form
r1≈−0.141019,r2=0,r3≈0.141019
Evaluate
7r2−44r4×8
To find the roots of the expression,set the expression equal to 0
7r2−44r4×8=0
Multiply the terms
7r2−352r4=0
Factor the expression
r2(7−352r2)=0
Separate the equation into 2 possible cases
r2=07−352r2=0
The only way a power can be 0 is when the base equals 0
r=07−352r2=0
Solve the equation
More Steps

Evaluate
7−352r2=0
Move the constant to the right-hand side and change its sign
−352r2=0−7
Removing 0 doesn't change the value,so remove it from the expression
−352r2=−7
Change the signs on both sides of the equation
352r2=7
Divide both sides
352352r2=3527
Divide the numbers
r2=3527
Take the root of both sides of the equation and remember to use both positive and negative roots
r=±3527
Simplify the expression
More Steps

Evaluate
3527
To take a root of a fraction,take the root of the numerator and denominator separately
3527
Simplify the radical expression
4227
Multiply by the Conjugate
422×227×22
Multiply the numbers
422×22154
Multiply the numbers
88154
r=±88154
Separate the equation into 2 possible cases
r=88154r=−88154
r=0r=88154r=−88154
Solution
r1=−88154,r2=0,r3=88154
Alternative Form
r1≈−0.141019,r2=0,r3≈0.141019
Show Solution
