Solve 15(x^2)-30=12x

Question

Solve the quadratic equation

Solve using the quadratic formula

Solve by completing the square

Solve using the PQ formula

x_{1} = \frac{2 - 3 6}{5}, x_{2} = \frac{2 + 3 6}{5}

Alternative Form

x_{1} \approx - 1.069694, x_{2} \approx 1.869694

Evaluate

15 x^{2} - 30 = 12 x

Move the expression to the left side

15 x^{2} - 30 - 12 x = 0

Rewrite in standard form

15 x^{2} - 12 x - 30 = 0

Substitute a= 15,b= - 12 and c= - 30 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 15 ( - 30 )}{2 \times 15}

Simplify the expression

x = \frac{12 \pm ( - 12 ) ^{2} - 4 \times 15 ( - 30 )}{30}

Simplify the expression

More Steps

x = \frac{12 \pm 1944}{30}

Simplify the radical expression

More Steps

x = \frac{12 \pm 18 6}{30}

Separate the equation into 2 possible cases

x = \frac{12 + 18 6}{30} x = \frac{12 - 18 6}{30}

Simplify the expression

More Steps

x = \frac{2 + 3 6}{5} x = \frac{12 - 18 6}{30}

Simplify the expression

More Steps

x = \frac{2 + 3 6}{5} x = \frac{2 - 3 6}{5}

Solution

x_{1} = \frac{2 - 3 6}{5}, x_{2} = \frac{2 + 3 6}{5}

Alternative Form

x_{1} \approx - 1.069694, x_{2} \approx 1.869694

Show Solution