Solve 3(4g^6) = 2(6g 9)

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Type your math problem... 3(4g^6) = 2(6g 9)

Question

Solve the equation

g_{1} = 0, g_{2} = 59

Alternative Form

g_{1} = 0, g_{2} \approx 1.551846

Evaluate

3 \times 4 g^{6} = 2 (6 g \times 9)

Remove the parentheses

3 \times 4 g^{6} = 2 \times 6 g \times 9

Multiply the numbers

12 g^{6} = 2 \times 6 g \times 9

Multiply the terms

More Steps

Evaluate

2 \times 6 \times 9

Multiply the terms

12 \times 9

Multiply the numbers

108

12 g^{6} = 108 g

Add or subtract both sides

12 g^{6} - 108 g = 0

Factor the expression

12 g (g^{5} - 9) = 0

Divide both sides

g (g^{5} - 9) = 0

Separate the equation into 2 possible cases

g = 0 g^{5} - 9 = 0

Solve the equation

More Steps

Evaluate

g^{5} - 9 = 0

Move the constant to the right-hand side and change its sign

g^{5} = 0 + 9

Removing 0 doesn't change the value,so remove it from the expression

g^{5} = 9

Take the 5 -th root on both sides of the equation

5 g^{5} = 59

Calculate

g = 59

g = 0 g = 59

Solution

g_{1} = 0, g_{2} = 59

Alternative Form

g_{1} = 0, g_{2} \approx 1.551846

Show Solution

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