What are the solutions to the equation 18a^2-30=-33a ?

The solutions to the equation 18a^2-30=-33a are a= 2/3 ,a=-5/2

Find the zeros of 18a^2-30=-33a

The zeros of 18a^2-30=-33a are a= 2/3 ,a=-5/2

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18 a^{2} - 30 = - 33 a

a = \frac{2}{3}, a = - \frac{5}{2}

Decimal Notation

a = 0.66666 \dots, a = - 2.5

Solution steps

18 a^{2} - 30 = - 33 a

Move

33 a

to the left side

18 a^{2} - 30 + 33 a = 0

Write in the standard form

a x^{2} + b x + c = 0

18 a^{2} + 33 a - 30 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 33 \pm 3 3 ^{2} - 4 \cdot 18 ( - 30 )}{2 \cdot 18}

3 3^{2} - 4 \cdot 18 (- 30) = 57

a_{1, 2} = \frac{- 33 \pm 57}{2 \cdot 18}

Separate the solutions

a_{1} = \frac{- 33 + 57}{2 \cdot 18}, a_{2} = \frac{- 33 - 57}{2 \cdot 18}

a = \frac{- 33 + 57}{2 \cdot 18} : \frac{2}{3}

a = \frac{- 33 - 57}{2 \cdot 18} : - \frac{5}{2}

The solutions to the quadratic equation are:

a = \frac{2}{3}, a = - \frac{5}{2}

- 2 x^{2} + 12 x - 5 = 0

x^{2} - \frac{3}{2} x = \frac{7}{16}

1 4^{2} + x^{2} = 5 0^{2}

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

x^{2} + 64 = 100

What are the solutions to the equation 18a^2-30=-33a ?
The solutions to the equation 18a^2-30=-33a are a= 2/3 ,a=-5/2
Find the zeros of 18a^2-30=-33a
The zeros of 18a^2-30=-33a are a= 2/3 ,a=-5/2