Solve 2a^2-5a-2=-3a^2

Evaluate

2 a^{2} - 5 a - 2 = - 3 a^{2}

Move the expression to the left side

5 a^{2} - 5 a - 2 = 0

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

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

Simplify the expression

a = \frac{5 \pm ( - 5 ) ^{2} - 4 \times 5 ( - 2 )}{10}

Simplify the expression

More Steps

a = \frac{5 \pm 65}{10}

Separate the equation into 2 possible cases

a = \frac{5 + 65}{10} a = \frac{5 - 65}{10}

Solution

a_{1} = \frac{5 - 65}{10}, a_{2} = \frac{5 + 65}{10}

Alternative Form

a_{1} \approx - 0.306226, a_{2} \approx 1.306226

Solve the quadratic equation