Solve 64f=6(2f 7) 10f

Evaluate

64 f = 6 (2 f \times 7) \times 10 f

Remove the parentheses

64 f = 6 \times 2 f \times 7 \times 10 f

Multiply

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64 f = 840 f^{2}

Swap the sides

840 f^{2} = 64 f

Move the expression to the left side

840 f^{2} - 64 f = 0

Factor the expression

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8 f (105 f - 8) = 0

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

105 f - 8 = 0 8 f = 0

Solve the equation for f

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f = \frac{8}{105} 8 f = 0

Solve the equation for f

f = \frac{8}{105} f = 0

Solution

f_{1} = 0, f_{2} = \frac{8}{105}

Alternative Form

f_{1} = 0, f_{2} = 0.0 \dot{7} 6190 \dot{4}

Solve the quadratic equation