Solve 3x 15-9=2(x^2)

Evaluate

3 x \times 15 - 9 = 2 x^{2}

Multiply the terms

45 x - 9 = 2 x^{2}

Swap the sides

2 x^{2} = 45 x - 9

Move the expression to the left side

2 x^{2} - 45 x + 9 = 0

Substitute a= 2,b= - 45 and c= 9 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{45 \pm ( - 45 ) ^{2} - 4 \times 2 \times 9}{2 \times 2}

Simplify the expression

x = \frac{45 \pm ( - 45 ) ^{2} - 4 \times 2 \times 9}{4}

Simplify the expression

More Steps

x = \frac{45 \pm 1953}{4}

Simplify the radical expression

More Steps

x = \frac{45 \pm 3 217}{4}

Separate the equation into 2 possible cases

x = \frac{45 + 3 217}{4} x = \frac{45 - 3 217}{4}

Solution

x_{1} = \frac{45 - 3 217}{4}, x_{2} = \frac{45 + 3 217}{4}

Alternative Form

x_{1} \approx 0.20181, x_{2} \approx 22.29819

Solve the quadratic equation