What are the solutions to the equation 360x+72=27x^2+18x ?

The solutions to the equation 360x+72=27x^2+18x are x=(19+sqrt(385))/3 ,x=(19-sqrt(385))/3

Find the zeros of 360x+72=27x^2+18x

The zeros of 360x+72=27x^2+18x are x=(19+sqrt(385))/3 ,x=(19-sqrt(385))/3

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360 x + 72 = 27 x^{2} + 18 x

x = \frac{19 + 385}{3}, x = \frac{19 - 385}{3}

Decimal Notation

x = 12.87380 \dots, x = - 0.20713 \dots

Solution steps

360 x + 72 = 27 x^{2} + 18 x

Switch sides

27 x^{2} + 18 x = 360 x + 72

Move

72

to the left side

27 x^{2} + 18 x - 72 = 360 x

Move

360 x

to the left side

27 x^{2} - 342 x - 72 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 342 ) \pm ( - 342 ) ^{2} - 4 \cdot 27 ( - 72 )}{2 \cdot 27}

(- 342)^{2} - 4 \cdot 27 (- 72) = 18385

x_{1, 2} = \frac{- ( - 342 ) \pm 18 385}{2 \cdot 27}

Separate the solutions

x_{1} = \frac{- ( - 342 ) + 18 385}{2 \cdot 27}, x_{2} = \frac{- ( - 342 ) - 18 385}{2 \cdot 27}

x = \frac{- ( - 342 ) + 18 385}{2 \cdot 27} : \frac{19 + 385}{3}

x = \frac{- ( - 342 ) - 18 385}{2 \cdot 27} : \frac{19 - 385}{3}

The solutions to the quadratic equation are:

x = \frac{19 + 385}{3}, x = \frac{19 - 385}{3}

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(x + 3) (x - 7) = 0

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

What are the solutions to the equation 360x+72=27x^2+18x ?
The solutions to the equation 360x+72=27x^2+18x are x=(19+sqrt(385))/3 ,x=(19-sqrt(385))/3
Find the zeros of 360x+72=27x^2+18x
The zeros of 360x+72=27x^2+18x are x=(19+sqrt(385))/3 ,x=(19-sqrt(385))/3