What is the answer to 1.5n^2-7.5nlog_{10}(n)=0 ?

The answer to 1.5n^2-7.5nlog_{10}(n)=0 is No Solution for n\in\mathbb{R}

Solve for n: 1.5n^2-7.5nlog_{10}(n)=0

The solution is No Solution for n\in\mathbb{R}

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1.5 n^{2} - 7.5 n lo g_{10} (n) = 0

No Solution for n \in R

Solution steps

1.5 n^{2} - 7.5 n lo g_{10} (n) = 0

Multiply both sides by

10

15 n^{2} - 75 n lo g_{10} (n) = 0

Move

15 n^{2}

to the right side

- 75 n lo g_{10} (n) = - 15 n^{2}

Move

15 n^{2}

to the left side

- 75 n lo g_{10} (n) + 15 n^{2} = 0

Factor

- 75 n lo g_{10} (n) + 15 n^{2} : 15 n (- 5 lo g_{10} (n) + n)

15 n (- 5 lo g_{10} (n) + n) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

n = 0 or - 5 lo g_{10} (n) + n = 0

Solve

- 5 lo g_{10} (n) + n = 0 :

No Solution for

n \in R

Verify Solutions:

n = 0

False

The solution is

No Solution for n \in R

6 ln (5 x - 3) + 12 = 0

(1 - ln (x)) d x = 0

ln (c x^{7}) = 7 ln (c) + 7 ln (x)

3^{2 l o g_{10} (x)} = x

4 lo g_{3} (3 x) = lo g_{3} (3 x^{4})

What is the answer to 1.5n^2-7.5nlog_{10}(n)=0 ?
The answer to 1.5n^2-7.5nlog_{10}(n)=0 is No Solution for n\in\mathbb{R}
Solve for n: 1.5n^2-7.5nlog_{10}(n)=0
The solution is No Solution for n\in\mathbb{R}