What are the solutions to the equation 5x^2+3x-14=-11x+10 ?

The solutions to the equation 5x^2+3x-14=-11x+10 are x= 6/5 ,x=-4

Find the zeros of 5x^2+3x-14=-11x+10

The zeros of 5x^2+3x-14=-11x+10 are x= 6/5 ,x=-4

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5 x^{2} + 3 x - 14 = - 11 x + 10

x = \frac{6}{5}, x = - 4

Decimal Notation

x = 1.2, x = - 4

Solution steps

5 x^{2} + 3 x - 14 = - 11 x + 10

Move

10

to the left side

5 x^{2} + 3 x - 24 = - 11 x

Move

11 x

to the left side

5 x^{2} + 14 x - 24 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 5 ( - 24 )}{2 \cdot 5}

1 4^{2} - 4 \cdot 5 (- 24) = 26

x_{1, 2} = \frac{- 14 \pm 26}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 14 + 26}{2 \cdot 5}, x_{2} = \frac{- 14 - 26}{2 \cdot 5}

x = \frac{- 14 + 26}{2 \cdot 5} : \frac{6}{5}

x = \frac{- 14 - 26}{2 \cdot 5} : - 4

The solutions to the quadratic equation are:

x = \frac{6}{5}, x = - 4

x, x^{2} = 3

a^{2} - 8 a - 32 = 0

2 x^{2} + 4 = x^{2} + 8

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

u^{2} + 7 u + 10 = 0

What are the solutions to the equation 5x^2+3x-14=-11x+10 ?
The solutions to the equation 5x^2+3x-14=-11x+10 are x= 6/5 ,x=-4
Find the zeros of 5x^2+3x-14=-11x+10
The zeros of 5x^2+3x-14=-11x+10 are x= 6/5 ,x=-4