Solve 3c^28=5c 10 - Socratic AI (ScanMath)

Evaluate

3 c^{2} \times 8 = 5 c \times 10

Multiply the terms

24 c^{2} = 5 c \times 10

Multiply the terms

24 c^{2} = 50 c

Move the expression to the left side

24 c^{2} - 50 c = 0

Factor the expression

More Steps

2 c (12 c - 25) = 0

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

12 c - 25 = 0 2 c = 0

Solve the equation for c

More Steps

c = \frac{25}{12} 2 c = 0

Solve the equation for c

c = \frac{25}{12} c = 0

Solution

c_{1} = 0, c_{2} = \frac{25}{12}

Alternative Form

c_{1} = 0, c_{2} = 2.08 \dot{3}

3c^28=5c 10