What are the solutions to the equation 28x^3+88x^2-37x-7=0 ?

The solutions to the equation 28x^3+88x^2-37x-7=0 are x= 1/2 ,x=-1/7 ,x=-7/2

Find the zeros of 28x^3+88x^2-37x-7=0

The zeros of 28x^3+88x^2-37x-7=0 are x= 1/2 ,x=-1/7 ,x=-7/2

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28 x^{3} + 88 x^{2} - 37 x - 7 = 0

x = \frac{1}{2}, x = - \frac{1}{7}, x = - \frac{7}{2}

Decimal Notation

x = 0.5, x = - 0.14285 \dots, x = - 3.5

Solution steps

28 x^{3} + 88 x^{2} - 37 x - 7 = 0

Factor

28 x^{3} + 88 x^{2} - 37 x - 7 : (2 x - 1) (7 x + 1) (2 x + 7)

(2 x - 1) (7 x + 1) (2 x + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 1 = 0 or 7 x + 1 = 0 or 2 x + 7 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{2}

Solve

7 x + 1 = 0 : x = - \frac{1}{7}

Solve

2 x + 7 = 0 : x = - \frac{7}{2}

The solutions are

x = \frac{1}{2}, x = - \frac{1}{7}, x = - \frac{7}{2}

2 x^{3} - 3 x^{2} + 4 x - 5 = 0

81 (x - 2)^{4} - 3 (x - 2) = 0

x^{6} = - 2^{6}

216 x^{3} (x - 1)^{3} = 64 x^{6}

3 (5 x + 2) (x^{2} - 81) = 0

What are the solutions to the equation 28x^3+88x^2-37x-7=0 ?
The solutions to the equation 28x^3+88x^2-37x-7=0 are x= 1/2 ,x=-1/7 ,x=-7/2
Find the zeros of 28x^3+88x^2-37x-7=0
The zeros of 28x^3+88x^2-37x-7=0 are x= 1/2 ,x=-1/7 ,x=-7/2