Solve (3(x-5))/6 (2x)/4 =7

Evaluate

\frac{3 ( x - 5 )}{6} \times \frac{2 x}{4} = 7

Simplify

More Steps

\frac{x ( x - 5 )}{4} = 7

Rewrite the expression

\frac{1}{4} x^{2} - \frac{5}{4} x = 7

Move the expression to the left side

\frac{1}{4} x^{2} - \frac{5}{4} x - 7 = 0

Multiply both sides

4 (\frac{1}{4} x^{2} - \frac{5}{4} x - 7) = 4 \times 0

Calculate

x^{2} - 5 x - 28 = 0

Substitute a= 1,b= - 5 and c= - 28 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 ( - 28 )}{2}

Simplify the expression

More Steps

x = \frac{5 \pm 137}{2}

Separate the equation into 2 possible cases

x = \frac{5 + 137}{2} x = \frac{5 - 137}{2}

Solution

x_{1} = \frac{5 - 137}{2}, x_{2} = \frac{5 + 137}{2}

Alternative Form

x_{1} \approx - 3.35235, x_{2} \approx 8.35235

Solve the quadratic equation