What are the solutions to the equation factor 8x-3=-3x^2 ?

The solutions to the equation factor 8x-3=-3x^2 are x= 1/3 ,x=-3

Find the zeros of factor 8x-3=-3x^2

The zeros of factor 8x-3=-3x^2 are x= 1/3 ,x=-3

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8 x - 3 = - 3 x^{2}

x = \frac{1}{3}, x = - 3

Decimal Notation

x = 0.33333 \dots, x = - 3

Solution steps

8 x - 3 = - 3 x^{2}

Switch sides

- 3 x^{2} = 8 x - 3

Move

3

to the left side

- 3 x^{2} + 3 = 8 x

Move

8 x

to the left side

- 3 x^{2} + 3 - 8 x = 0

Write in the standard form

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

- 3 x^{2} - 8 x + 3 = 0

Factor

- 3 x^{2} - 8 x + 3 : - (3 x - 1) (x + 3)

- (3 x - 1) (x + 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 x - 1 = 0 or x + 3 = 0

Solve

3 x - 1 = 0 : x = \frac{1}{3}

Solve

x + 3 = 0 : x = - 3

The solutions to the quadratic equation are:

x = \frac{1}{3}, x = - 3

- 6 (x + 5)^{2} + 54 = 0

x^{2} + 11 x + 24 = 0

2 x^{2} + 16 x + 7

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

3 x^{2} + 6 x + 3 = 0

What are the solutions to the equation factor 8x-3=-3x^2 ?
The solutions to the equation factor 8x-3=-3x^2 are x= 1/3 ,x=-3
Find the zeros of factor 8x-3=-3x^2
The zeros of factor 8x-3=-3x^2 are x= 1/3 ,x=-3