Solve (2-c) 3(c-3)=-13

Evaluate

(2 - c) \times 3 (c - 3) = - 13

Multiply the first two terms

3 (2 - c) (c - 3) = - 13

Expand the expression

More Steps

15 c - 18 - 3 c^{2} = - 13

Move the expression to the left side

15 c - 5 - 3 c^{2} = 0

Rewrite in standard form

- 3 c^{2} + 15 c - 5 = 0

Multiply both sides

3 c^{2} - 15 c + 5 = 0

Substitute a= 3,b= - 15 and c= 5 into the quadratic formula c = \frac{- b \pm b ^{2} - 4 a c}{2 a}

c = \frac{15 \pm ( - 15 ) ^{2} - 4 \times 3 \times 5}{2 \times 3}

Simplify the expression

c = \frac{15 \pm ( - 15 ) ^{2} - 4 \times 3 \times 5}{6}

Simplify the expression

More Steps

c = \frac{15 \pm 165}{6}

Separate the equation into 2 possible cases

c = \frac{15 + 165}{6} c = \frac{15 - 165}{6}

Solution

c_{1} = \frac{15 - 165}{6}, c_{2} = \frac{15 + 165}{6}

Alternative Form

c_{1} \approx 0.359128, c_{2} \approx 4.640872

Solve the quadratic equation