What are the solutions to the equation 2a^2+8a-15=3a-3 ?

The solutions to the equation 2a^2+8a-15=3a-3 are a= 3/2 ,a=-4

Find the zeros of 2a^2+8a-15=3a-3

The zeros of 2a^2+8a-15=3a-3 are a= 3/2 ,a=-4

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2 a^{2} + 8 a - 15 = 3 a - 3

a = \frac{3}{2}, a = - 4

Decimal Notation

a = 1.5, a = - 4

Solution steps

2 a^{2} + 8 a - 15 = 3 a - 3

Move

3

to the left side

2 a^{2} + 8 a - 12 = 3 a

Move

3 a

to the left side

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

Solve with the quadratic formula

a_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 2 ( - 12 )}{2 \cdot 2}

5^{2} - 4 \cdot 2 (- 12) = 11

a_{1, 2} = \frac{- 5 \pm 11}{2 \cdot 2}

Separate the solutions

a_{1} = \frac{- 5 + 11}{2 \cdot 2}, a_{2} = \frac{- 5 - 11}{2 \cdot 2}

a = \frac{- 5 + 11}{2 \cdot 2} : \frac{3}{2}

a = \frac{- 5 - 11}{2 \cdot 2} : - 4

The solutions to the quadratic equation are:

a = \frac{3}{2}, a = - 4

100 = r^{2} + r^{2} - 2 \cdot r \cdot r \cdot \frac{3}{2}

x (3 x + 4) = 5

21 x^{2} - 16 x - 16

- 1 = 5 + \frac{x}{6}

2 - \frac{9}{2}

What are the solutions to the equation 2a^2+8a-15=3a-3 ?
The solutions to the equation 2a^2+8a-15=3a-3 are a= 3/2 ,a=-4
Find the zeros of 2a^2+8a-15=3a-3
The zeros of 2a^2+8a-15=3a-3 are a= 3/2 ,a=-4