Solve 7(x - 3) 3(4 - x) = -8

Evaluate

7 (x - 3) \times 3 (4 - x) = - 8

Multiply the terms

21 (x - 3) (4 - x) = - 8

Expand the expression

More Steps

147 x - 21 x^{2} - 252 = - 8

Move the expression to the left side

147 x - 21 x^{2} - 244 = 0

Rewrite in standard form

- 21 x^{2} + 147 x - 244 = 0

Multiply both sides

21 x^{2} - 147 x + 244 = 0

Substitute a= 21,b= - 147 and c= 244 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{147 \pm ( - 147 ) ^{2} - 4 \times 21 \times 244}{2 \times 21}

Simplify the expression

x = \frac{147 \pm ( - 147 ) ^{2} - 4 \times 21 \times 244}{42}

Simplify the expression

More Steps

x = \frac{147 \pm 1113}{42}

Separate the equation into 2 possible cases

x = \frac{147 + 1113}{42} x = \frac{147 - 1113}{42}

Solution

x_{1} = \frac{147 - 1113}{42}, x_{2} = \frac{147 + 1113}{42}

Alternative Form

x_{1} \approx 2.705675, x_{2} \approx 4.294325

Solve the quadratic equation