What are the solutions to the equation 3x^2-14x=-15 ?

The solutions to the equation 3x^2-14x=-15 are x=3,x= 5/3

Find the zeros of 3x^2-14x=-15

The zeros of 3x^2-14x=-15 are x=3,x= 5/3

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3 x^{2} - 14 x = - 15

x = 3, x = \frac{5}{3}

Decimal Notation

x = 3, x = 1.66666 \dots

Solution steps

3 x^{2} - 14 x = - 15

Move

15

to the left side

3 x^{2} - 14 x + 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 14 ) \pm ( - 14 ) ^{2} - 4 \cdot 3 \cdot 15}{2 \cdot 3}

(- 14)^{2} - 4 \cdot 3 \cdot 15 = 4

x_{1, 2} = \frac{- ( - 14 ) \pm 4}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 14 ) + 4}{2 \cdot 3}, x_{2} = \frac{- ( - 14 ) - 4}{2 \cdot 3}

x = \frac{- ( - 14 ) + 4}{2 \cdot 3} : 3

x = \frac{- ( - 14 ) - 4}{2 \cdot 3} : \frac{5}{3}

The solutions to the quadratic equation are:

x = 3, x = \frac{5}{3}

250000 = - 425 x^{2} + 45500 x - 650000

2 y^{2} + 10 = 42

25 - \frac{1}{4} x - \frac{1}{2} = - \frac{3}{4} x^{2} + 25

8 x^{2} = 968

\frac{3 ( x + 1 )}{2} - \frac{5 ( x - 1 )}{3} = \frac{( x + 1 ) ( x + 2 )}{6}

What are the solutions to the equation 3x^2-14x=-15 ?
The solutions to the equation 3x^2-14x=-15 are x=3,x= 5/3
Find the zeros of 3x^2-14x=-15
The zeros of 3x^2-14x=-15 are x=3,x= 5/3