What are the solutions to the equation 4m^2-15m+5=-3m ?

The solutions to the equation 4m^2-15m+5=-3m are m= 5/2 ,m= 1/2

Find the zeros of 4m^2-15m+5=-3m

The zeros of 4m^2-15m+5=-3m are m= 5/2 ,m= 1/2

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4 m^{2} - 15 m + 5 = - 3 m

m = \frac{5}{2}, m = \frac{1}{2}

Decimal Notation

m = 2.5, m = 0.5

Solution steps

4 m^{2} - 15 m + 5 = - 3 m

Move

3 m

to the left side

4 m^{2} - 12 m + 5 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 4 \cdot 5}{2 \cdot 4}

(- 12)^{2} - 4 \cdot 4 \cdot 5 = 8

m_{1, 2} = \frac{- ( - 12 ) \pm 8}{2 \cdot 4}

Separate the solutions

m_{1} = \frac{- ( - 12 ) + 8}{2 \cdot 4}, m_{2} = \frac{- ( - 12 ) - 8}{2 \cdot 4}

m = \frac{- ( - 12 ) + 8}{2 \cdot 4} : \frac{5}{2}

m = \frac{- ( - 12 ) - 8}{2 \cdot 4} : \frac{1}{2}

The solutions to the quadratic equation are:

m = \frac{5}{2}, m = \frac{1}{2}

2 x^{2} - 13 x + 3 = - 4 x

3 x^{2} + 24 x + 48 = - 108

2 x^{2} + 3 x - 20 = 0

x^{2} + \frac{3}{2} x - 3 = 0

2 x^{2} - 9 x + 21 = 0

What are the solutions to the equation 4m^2-15m+5=-3m ?
The solutions to the equation 4m^2-15m+5=-3m are m= 5/2 ,m= 1/2
Find the zeros of 4m^2-15m+5=-3m
The zeros of 4m^2-15m+5=-3m are m= 5/2 ,m= 1/2