What are the solutions to the equation -15t^2+2=-7t ?

The solutions to the equation -15t^2+2=-7t are t=-1/5 ,t= 2/3

Find the zeros of -15t^2+2=-7t

The zeros of -15t^2+2=-7t are t=-1/5 ,t= 2/3

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- 15 t^{2} + 2 = - 7 t

t = - \frac{1}{5}, t = \frac{2}{3}

Decimal Notation

t = - 0.2, t = 0.66666 \dots

Solution steps

- 15 t^{2} + 2 = - 7 t

Move

7 t

to the left side

- 15 t^{2} + 2 + 7 t = 0

Write in the standard form

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

- 15 t^{2} + 7 t + 2 = 0

Solve with the quadratic formula

t_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 ( - 15 ) \cdot 2}{2 ( - 15 )}

7^{2} - 4 (- 15) \cdot 2 = 13

t_{1, 2} = \frac{- 7 \pm 13}{2 ( - 15 )}

Separate the solutions

t_{1} = \frac{- 7 + 13}{2 ( - 15 )}, t_{2} = \frac{- 7 - 13}{2 ( - 15 )}

t = \frac{- 7 + 13}{2 ( - 15 )} : - \frac{1}{5}

t = \frac{- 7 - 13}{2 ( - 15 )} : \frac{2}{3}

The solutions to the quadratic equation are:

t = - \frac{1}{5}, t = \frac{2}{3}

(x - 4) (x + 6) - (x - 3) 2 = 15

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

3 x^{2} - 15 = 9

x^{2} - 3 x - 4 = - 2

6 x^{2} = x + 35

What are the solutions to the equation -15t^2+2=-7t ?
The solutions to the equation -15t^2+2=-7t are t=-1/5 ,t= 2/3
Find the zeros of -15t^2+2=-7t
The zeros of -15t^2+2=-7t are t=-1/5 ,t= 2/3