Solve -5(x-1)=x^29

Evaluate

- 5 (x - 1) = x^{2} \times 9

Use the commutative property to reorder the terms

- 5 (x - 1) = 9 x^{2}

Swap the sides

9 x^{2} = - 5 (x - 1)

Expand the expression

More Steps

9 x^{2} = - 5 x + 5

Move the expression to the left side

9 x^{2} + 5 x - 5 = 0

Substitute a= 9,b= 5 and c= - 5 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 \times 9 ( - 5 )}{2 \times 9}

Simplify the expression

x = \frac{- 5 \pm 5 ^{2} - 4 \times 9 ( - 5 )}{18}

Simplify the expression

More Steps

x = \frac{- 5 \pm 205}{18}

Separate the equation into 2 possible cases

x = \frac{- 5 + 205}{18} x = \frac{- 5 - 205}{18}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = \frac{- 5 + 205}{18} x = - \frac{5 + 205}{18}

Solution

x_{1} = - \frac{5 + 205}{18}, x_{2} = \frac{- 5 + 205}{18}

Alternative Form

x_{1} \approx - 1.073212, x_{2} \approx 0.517657

Solve the quadratic equation