Solve (3x - 2^4)*x 7^3=2x7^4

Evaluate

(3 x - 2^{4}) x \times 7^{3} = 2 x \times 7^{4}

Simplify

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7^{3} x (3 x - 16) = 2 x \times 7^{4}

Multiply the numbers

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7^{3} x (3 x - 16) = 4802 x

Expand the expression

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1029 x^{2} - 5488 x = 4802 x

Move the expression to the left side

1029 x^{2} - 10290 x = 0

Factor the expression

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1029 x (x - 10) = 0

When the product of factors equals 0,at least one factor is 0

x - 10 = 0 1029 x = 0

Solve the equation for x

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x = 10 1029 x = 0

Solve the equation for x

x = 10 x = 0

Solution

x_{1} = 0, x_{2} = 10

Solve the quadratic equation