What are the solutions to the equation factor 7x^2=10x-3 ?

The solutions to the equation factor 7x^2=10x-3 are x= 3/7 ,x=1

Find the zeros of factor 7x^2=10x-3

The zeros of factor 7x^2=10x-3 are x= 3/7 ,x=1

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7 x^{2} = 10 x - 3

x = \frac{3}{7}, x = 1

Decimal Notation

x = 0.42857 \dots, x = 1

Solution steps

7 x^{2} = 10 x - 3

Move

3

to the left side

7 x^{2} + 3 = 10 x

Move

10 x

to the left side

7 x^{2} + 3 - 10 x = 0

Write in the standard form

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

7 x^{2} - 10 x + 3 = 0

Factor

7 x^{2} - 10 x + 3 : (7 x - 3) (x - 1)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

7 x - 3 = 0 or x - 1 = 0

Solve

7 x - 3 = 0 : x = \frac{3}{7}

Solve

x - 1 = 0 : x = 1

The solutions to the quadratic equation are:

x = \frac{3}{7}, x = 1

x^{2} + x - 2 = 4

8 = 2.4 t - 0.1 t^{2}

- 4 x^{2} - 19 x + 5 = 0

y^{2} - 4 y - 45 = 0

3 x^{2} + 9 x + 7 = 0

What are the solutions to the equation factor 7x^2=10x-3 ?
The solutions to the equation factor 7x^2=10x-3 are x= 3/7 ,x=1
Find the zeros of factor 7x^2=10x-3
The zeros of factor 7x^2=10x-3 are x= 3/7 ,x=1