What are the solutions to the equation (3a-10)(2a-7)=0 ?

The solutions to the equation (3a-10)(2a-7)=0 are a= 10/3 ,a= 7/2

Find the zeros of (3a-10)(2a-7)=0

The zeros of (3a-10)(2a-7)=0 are a= 10/3 ,a= 7/2

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(3 a - 10) (2 a - 7) = 0

a = \frac{10}{3}, a = \frac{7}{2}

Decimal Notation

a = 3.33333 \dots, a = 3.5

Solution steps

(3 a - 10) (2 a - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3 a - 10 = 0 or 2 a - 7 = 0

Solve

3 a - 10 = 0 : a = \frac{10}{3}

Solve

2 a - 7 = 0 : a = \frac{7}{2}

The solutions to the quadratic equation are:

a = \frac{10}{3}, a = \frac{7}{2}

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

x^{2} - 8 x + 15 = 0

2 (x - 3)^{2} + 7 = 23

x^{2} + 45 = 180

2 x^{2} - 13 x + 12 = 0

What are the solutions to the equation (3a-10)(2a-7)=0 ?
The solutions to the equation (3a-10)(2a-7)=0 are a= 10/3 ,a= 7/2
Find the zeros of (3a-10)(2a-7)=0
The zeros of (3a-10)(2a-7)=0 are a= 10/3 ,a= 7/2