What are the solutions to the equation 2(x^2-100)(36x^2-49)=0 ?

The solutions to the equation 2(x^2-100)(36x^2-49)=0 are x=-10,x=10,x=-7/6 ,x= 7/6

Find the zeros of 2(x^2-100)(36x^2-49)=0

The zeros of 2(x^2-100)(36x^2-49)=0 are x=-10,x=10,x=-7/6 ,x= 7/6

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2 (x^{2} - 100) (36 x^{2} - 49) = 0

x = - 10, x = 10, x = - \frac{7}{6}, x = \frac{7}{6}

Decimal Notation

x = - 10, x = 10, x = - 1.16666 \dots, x = 1.16666 \dots

Solution steps

2 (x^{2} - 100) (36 x^{2} - 49) = 0

Factor

2 (x^{2} - 100) (36 x^{2} - 49) : 2 (x + 10) (x - 10) (6 x + 7) (6 x - 7)

2 (x + 10) (x - 10) (6 x + 7) (6 x - 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 10 = 0 or x - 10 = 0 or 6 x + 7 = 0 or 6 x - 7 = 0

Solve

x + 10 = 0 : x = - 10

Solve

x - 10 = 0 : x = 10

Solve

6 x + 7 = 0 : x = - \frac{7}{6}

Solve

6 x - 7 = 0 : x = \frac{7}{6}

The solutions are

x = - 10, x = 10, x = - \frac{7}{6}, x = \frac{7}{6}

6 x^{4} - 9 x^{3} = 0

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

6 x^{4} - 5 x^{2} - 1 = 0

x^{3} + x^{2} - 5 x = 0

2 x (x^{2} - 100) (9 x^{2} - 25) = 0

What are the solutions to the equation 2(x^2-100)(36x^2-49)=0 ?
The solutions to the equation 2(x^2-100)(36x^2-49)=0 are x=-10,x=10,x=-7/6 ,x= 7/6
Find the zeros of 2(x^2-100)(36x^2-49)=0
The zeros of 2(x^2-100)(36x^2-49)=0 are x=-10,x=10,x=-7/6 ,x= 7/6