What are the solutions to the equation -2x^2+18x+42=-3x^2-2 ?

The solutions to the equation -2x^2+18x+42=-3x^2-2 are x=-9+sqrt(37),x=-9-sqrt(37)

Find the zeros of -2x^2+18x+42=-3x^2-2

The zeros of -2x^2+18x+42=-3x^2-2 are x=-9+sqrt(37),x=-9-sqrt(37)

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- 2 x^{2} + 18 x + 42 = - 3 x^{2} - 2

x = - 9 + 37, x = - 9 - 37

Decimal Notation

x = - 2.91723 \dots, x = - 15.08276 \dots

Solution steps

- 2 x^{2} + 18 x + 42 = - 3 x^{2} - 2

Move

2

to the left side

- 2 x^{2} + 18 x + 44 = - 3 x^{2}

Move

3 x^{2}

to the left side

x^{2} + 18 x + 44 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 1 \cdot 44}{2 \cdot 1}

1 8^{2} - 4 \cdot 1 \cdot 44 = 237

x_{1, 2} = \frac{- 18 \pm 2 37}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 18 + 2 37}{2 \cdot 1}, x_{2} = \frac{- 18 - 2 37}{2 \cdot 1}

x = \frac{- 18 + 2 37}{2 \cdot 1} : - 9 + 37

x = \frac{- 18 - 2 37}{2 \cdot 1} : - 9 - 37

The solutions to the quadratic equation are:

x = - 9 + 37, x = - 9 - 37

x (x + 3) = 11 x + 16

x^{2} + 20 x + 100 = 7

3 x^{2} - 18 x - 3 = - 10 x

x^{2} - 30 x + 100 = 0

x^{2} + 11 x = 16 x - 6

What are the solutions to the equation -2x^2+18x+42=-3x^2-2 ?
The solutions to the equation -2x^2+18x+42=-3x^2-2 are x=-9+sqrt(37),x=-9-sqrt(37)
Find the zeros of -2x^2+18x+42=-3x^2-2
The zeros of -2x^2+18x+42=-3x^2-2 are x=-9+sqrt(37),x=-9-sqrt(37)