Solve x-20/7 x/10 x-10/4=0

Evaluate

x - \frac{20}{7} \times \frac{x}{10} x - \frac{10}{4} = 0

Simplify

More Steps

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

Multiply both sides of the equation by LCD

(x - \frac{2 x ^{2}}{7} - \frac{5}{2}) \times 14 = 0 \times 14

Simplify the equation

More Steps

14 x - 4 x^{2} - 35 = 0 \times 14

Any expression multiplied by 0 equals 0

14 x - 4 x^{2} - 35 = 0

Rewrite in standard form

- 4 x^{2} + 14 x - 35 = 0

Multiply both sides

4 x^{2} - 14 x + 35 = 0

Substitute a= 4,b= - 14 and c= 35 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{14 \pm ( - 14 ) ^{2} - 4 \times 4 \times 35}{2 \times 4}

Simplify the expression

x = \frac{14 \pm ( - 14 ) ^{2} - 4 \times 4 \times 35}{8}

Simplify the expression

More Steps

x = \frac{14 \pm - 364}{8}

Solution

x \in / R

Alternative Form

No real solution

Solve the equation