Solve 6(7-x) x=46-x

Evaluate

6 (7 - x) x = 46 - x

Multiply the terms

6 x (7 - x) = 46 - x

Expand the expression

More Steps

42 x - 6 x^{2} = 46 - x

Move the expression to the left side

43 x - 6 x^{2} - 46 = 0

Rewrite in standard form

- 6 x^{2} + 43 x - 46 = 0

Multiply both sides

6 x^{2} - 43 x + 46 = 0

Substitute a= 6,b= - 43 and c= 46 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{43 \pm ( - 43 ) ^{2} - 4 \times 6 \times 46}{2 \times 6}

Simplify the expression

x = \frac{43 \pm ( - 43 ) ^{2} - 4 \times 6 \times 46}{12}

Simplify the expression

More Steps

x = \frac{43 \pm 745}{12}

Separate the equation into 2 possible cases

x = \frac{43 + 745}{12} x = \frac{43 - 745}{12}

Solution

x_{1} = \frac{43 - 745}{12}, x_{2} = \frac{43 + 745}{12}

Alternative Form

x_{1} \approx 1.308776, x_{2} \approx 5.857891

Solve the quadratic equation