What are the solutions to the equation factor 5x^2-2=-9x ?

The solutions to the equation factor 5x^2-2=-9x are x= 1/5 ,x=-2

Find the zeros of factor 5x^2-2=-9x

The zeros of factor 5x^2-2=-9x are x= 1/5 ,x=-2

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

x = \frac{1}{5}, x = - 2

Decimal Notation

x = 0.2, x = - 2

Solution steps

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

Move

9 x

to the left side

5 x^{2} - 2 + 9 x = 0

Write in the standard form

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

5 x^{2} + 9 x - 2 = 0

Factor

5 x^{2} + 9 x - 2 : (5 x - 1) (x + 2)

(5 x - 1) (x + 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

5 x - 1 = 0 or x + 2 = 0

Solve

5 x - 1 = 0 : x = \frac{1}{5}

Solve

x + 2 = 0 : x = - 2

The solutions to the quadratic equation are:

x = \frac{1}{5}, x = - 2

y^{2} + 3 y = 2

(1 - x)^{2} = 9

12 x^{2} + 16 x - 3 = 0

x^{2} - 4 x = - 29

121 x^{2} - 8 = 0

What are the solutions to the equation factor 5x^2-2=-9x ?
The solutions to the equation factor 5x^2-2=-9x are x= 1/5 ,x=-2
Find the zeros of factor 5x^2-2=-9x
The zeros of factor 5x^2-2=-9x are x= 1/5 ,x=-2