What is the answer to (x^{0.3}(x-7))/4 =-9 ?

The answer to (x^{0.3}(x-7))/4 =-9 is No Solution for x\in\mathbb{R}

Solve for x: (x^{0.3}(x-7))/4 =-9

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

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\frac{x ^{0.3} ( x - 7 )}{4} = - 9

No Solution for x \in R

Solution steps

\frac{x ^{0.3} ( x - 7 )}{4} = - 9

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

x^{0.3} = (x^{\frac{1}{10}})^{(0.3 \cdot 10)}

\frac{( x ^{\frac{1}{10}} ) ^{3} ( ( x ^{\frac{1}{10}} ) ^{10} - 7 )}{4} = - 9

Rewrite the equation with

x^{\frac{1}{10}} = u

\frac{u ^{3} ( u ^{10} - 7 )}{4} = - 9

Solve

\frac{u ^{3} ( u ^{10} - 7 )}{4} = - 9 : u \approx - 1.35823 \dots

u \approx - 1.35823 \dots

Substitute back

u = x^{\frac{1}{10}},

solve for

x

Solve

x^{\frac{1}{10}} = - 1.35823 \dots :

No Solution for

x \in R

No Solution for x \in R

\frac{x}{6} + 2 = 7

6 x + 3 = 3

4 x^{\frac{3}{4}} - 29 = 227

3 x + 24 = x + 2

52.76 = a x^{2} a x^{1.5} x (3 a)

What is the answer to (x^{0.3}(x-7))/4 =-9 ?
The answer to (x^{0.3}(x-7))/4 =-9 is No Solution for x\in\mathbb{R}
Solve for x: (x^{0.3}(x-7))/4 =-9
The solution is No Solution for x\in\mathbb{R}