What are the solutions to the equation 5x^2=30x-45 ?

The solutions to the equation 5x^2=30x-45 are x=3

Find the zeros of 5x^2=30x-45

The zeros of 5x^2=30x-45 are x=3

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5 x^{2} = 30 x - 45

x = 3

Solution steps

5 x^{2} = 30 x - 45

Move

45

to the left side

5 x^{2} + 45 = 30 x

Move

30 x

to the left side

5 x^{2} + 45 - 30 x = 0

Write in the standard form

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

5 x^{2} - 30 x + 45 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 \cdot 5 \cdot 45}{2 \cdot 5}

(- 30)^{2} - 4 \cdot 5 \cdot 45 = 0

x_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 \cdot 5}

x = \frac{- ( - 30 )}{2 \cdot 5}

\frac{- ( - 30 )}{2 \cdot 5} = 3

x = 3

The solution to the quadratic equation is:

x = 3

2 \cdot x \cdot (x + 4) = 42

x + 4 x^{2} = 0

7 x^{2} + 21 x = 0

3 m^{2} - 7 m - 2 = 0

(m + 4) (m - 1) = 3

What are the solutions to the equation 5x^2=30x-45 ?
The solutions to the equation 5x^2=30x-45 are x=3
Find the zeros of 5x^2=30x-45
The zeros of 5x^2=30x-45 are x=3