Solve 9x x-5x=6*5

Evaluate

9 x \times x - 5 x = 6 \times 5

Multiply the terms

9 x^{2} - 5 x = 6 \times 5

Multiply the numbers

9 x^{2} - 5 x = 30

Move the expression to the left side

9 x^{2} - 5 x - 30 = 0

Substitute a= 9,b= - 5 and c= - 30 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 9 ( - 30 )}{2 \times 9}

Simplify the expression

x = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 9 ( - 30 )}{18}

Simplify the expression

More Steps

x = \frac{5 \pm 1105}{18}

Separate the equation into 2 possible cases

x = \frac{5 + 1105}{18} x = \frac{5 - 1105}{18}

Solution

x_{1} = \frac{5 - 1105}{18}, x_{2} = \frac{5 + 1105}{18}

Alternative Form

x_{1} \approx - 1.568974, x_{2} \approx 2.12453

Solve the quadratic equation