Question
Simplify the expression
2154m2−525
Evaluate
m2×24308−525
Divide the terms
More Steps

Evaluate
24308
Reduce the numbers
12154
Calculate
2154
m2×2154−525
Solution
2154m2−525
Show Solution

Factor the expression
3(718m2−175)
Evaluate
m2×24308−525
Divide the terms
More Steps

Evaluate
24308
Reduce the numbers
12154
Calculate
2154
m2×2154−525
Use the commutative property to reorder the terms
2154m2−525
Solution
3(718m2−175)
Show Solution

Find the roots
m1=−71855026,m2=71855026
Alternative Form
m1≈−0.493693,m2≈0.493693
Evaluate
m2×24308−525
To find the roots of the expression,set the expression equal to 0
m2×24308−525=0
Divide the terms
More Steps

Evaluate
24308
Reduce the numbers
12154
Calculate
2154
m2×2154−525=0
Use the commutative property to reorder the terms
2154m2−525=0
Move the constant to the right-hand side and change its sign
2154m2=0+525
Removing 0 doesn't change the value,so remove it from the expression
2154m2=525
Divide both sides
21542154m2=2154525
Divide the numbers
m2=2154525
Cancel out the common factor 3
m2=718175
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±718175
Simplify the expression
More Steps

Evaluate
718175
To take a root of a fraction,take the root of the numerator and denominator separately
718175
Simplify the radical expression
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Evaluate
175
Write the expression as a product where the root of one of the factors can be evaluated
25×7
Write the number in exponential form with the base of 5
52×7
The root of a product is equal to the product of the roots of each factor
52×7
Reduce the index of the radical and exponent with 2
57
71857
Multiply by the Conjugate
718×71857×718
Multiply the numbers
More Steps

Evaluate
7×718
The product of roots with the same index is equal to the root of the product
7×718
Calculate the product
5026
718×71855026
When a square root of an expression is multiplied by itself,the result is that expression
71855026
m=±71855026
Separate the equation into 2 possible cases
m=71855026m=−71855026
Solution
m1=−71855026,m2=71855026
Alternative Form
m1≈−0.493693,m2≈0.493693
Show Solution
