What are the solutions to the equation -75x^2-15x-100=-150x^2+10x+250 ?

The solutions to the equation -75x^2-15x-100=-150x^2+10x+250 are x= 7/3 ,x=-2

Find the zeros of -75x^2-15x-100=-150x^2+10x+250

The zeros of -75x^2-15x-100=-150x^2+10x+250 are x= 7/3 ,x=-2

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- 75 x^{2} - 15 x - 100 = - 150 x^{2} + 10 x + 250

x = \frac{7}{3}, x = - 2

Decimal Notation

x = 2.33333 \dots, x = - 2

Solution steps

- 75 x^{2} - 15 x - 100 = - 150 x^{2} + 10 x + 250

Move

250

to the left side

- 75 x^{2} - 15 x - 350 = - 150 x^{2} + 10 x

Move

10 x

to the left side

- 75 x^{2} - 25 x - 350 = - 150 x^{2}

Move

150 x^{2}

to the left side

75 x^{2} - 25 x - 350 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 25 ) \pm ( - 25 ) ^{2} - 4 \cdot 75 ( - 350 )}{2 \cdot 75}

(- 25)^{2} - 4 \cdot 75 (- 350) = 325

x_{1, 2} = \frac{- ( - 25 ) \pm 325}{2 \cdot 75}

Separate the solutions

x_{1} = \frac{- ( - 25 ) + 325}{2 \cdot 75}, x_{2} = \frac{- ( - 25 ) - 325}{2 \cdot 75}

x = \frac{- ( - 25 ) + 325}{2 \cdot 75} : \frac{7}{3}

x = \frac{- ( - 25 ) - 325}{2 \cdot 75} : - 2

The solutions to the quadratic equation are:

x = \frac{7}{3}, x = - 2

- 2 x^{2} - x - 6 = 0

x, - 3^{2} + x^{2} = 1 0^{2}

s^{2} + 6 s + 144

5 x^{2} = - 9 x - 2

3 z^{2} - z + 5 = 6

What are the solutions to the equation -75x^2-15x-100=-150x^2+10x+250 ?
The solutions to the equation -75x^2-15x-100=-150x^2+10x+250 are x= 7/3 ,x=-2
Find the zeros of -75x^2-15x-100=-150x^2+10x+250
The zeros of -75x^2-15x-100=-150x^2+10x+250 are x= 7/3 ,x=-2