Solve 2x-(7-5x)/9x-(34x)= 7/6

Question

Solve the equation

x_{1} = \frac{295 - 87235}{10}, x_{2} = \frac{295 + 87235}{10}

Alternative Form

x_{1} \approx - 0.035572, x_{2} \approx 59.035572

Evaluate

2 x - \frac{7 - 5 x}{9} \times x - 34 x = \frac{7}{6}

Simplify

More Steps

- 32 x - \frac{x ( 7 - 5 x )}{9} = \frac{7}{6}

Multiply both sides of the equation by LCD

(- 32 x - \frac{x ( 7 - 5 x )}{9}) \times 18 = \frac{7}{6} \times 18

Simplify the equation

More Steps

- 590 x + 10 x^{2} = \frac{7}{6} \times 18

Simplify the equation

More Steps

- 590 x + 10 x^{2} = 21

Move the expression to the left side

- 590 x + 10 x^{2} - 21 = 0

Rewrite in standard form

10 x^{2} - 590 x - 21 = 0

Substitute a= 10,b= - 590 and c= - 21 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{590 \pm ( - 590 ) ^{2} - 4 \times 10 ( - 21 )}{2 \times 10}

Simplify the expression

x = \frac{590 \pm ( - 590 ) ^{2} - 4 \times 10 ( - 21 )}{20}

Simplify the expression

More Steps

x = \frac{590 \pm 59 0 ^{2} + 840}{20}

Simplify the radical expression

More Steps

x = \frac{590 \pm 2 87235}{20}

Separate the equation into 2 possible cases

x = \frac{590 + 2 87235}{20} x = \frac{590 - 2 87235}{20}

Simplify the expression

More Steps

x = \frac{295 + 87235}{10} x = \frac{590 - 2 87235}{20}

Simplify the expression

More Steps

x = \frac{295 + 87235}{10} x = \frac{295 - 87235}{10}

Solution

x_{1} = \frac{295 - 87235}{10}, x_{2} = \frac{295 + 87235}{10}

Alternative Form

x_{1} \approx - 0.035572, x_{2} \approx 59.035572

Show Solution