What is the answer to 5*(\sqrt[3]{-4x+6})=5x-12 ?

The answer to 5*(\sqrt[3]{-4x+6})=5x-12 is x\approx 1.61906…

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5*(\sqrt[3]{-4x+6})=5x-12

x \approx 1.61906 \dots

Solution steps

Take both sides of the equation to the power of

3 : - 500 x + 750 = 125 x^{3} - 900 x^{2} + 2160 x - 1728

- 500 x + 750 = 125 x^{3} - 900 x^{2} + 2160 x - 1728

Solve

- 500 x + 750 = 125 x^{3} - 900 x^{2} + 2160 x - 1728 : x \approx 1.61906 \dots

x \approx 1.61906 \dots

Verify Solutions:

x \approx 1.61906 \dots

True

The solution is

x \approx 1.61906 \dots

x + 5 = 5 - x

7 - 3 x + x = 1

3 x^{0.5} - 8 x^{0.25} + 2 = 0

3 x + 49 + 7 = x

x^{\frac{5}{3}} = - 243

What is the answer to 5*(\sqrt[3]{-4x+6})=5x-12 ?
The answer to 5*(\sqrt[3]{-4x+6})=5x-12 is x\approx 1.61906…
Solve for x: 5*(\sqrt[3]{-4x+6})=5x-12
The solution is x\approx 1.61906…