What are the solutions to the equation 5x^2-8x+12=3x+10 ?

The solutions to the equation 5x^2-8x+12=3x+10 are x=2,x= 1/5

Find the zeros of 5x^2-8x+12=3x+10

The zeros of 5x^2-8x+12=3x+10 are x=2,x= 1/5

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5 x^{2} - 8 x + 12 = 3 x + 10

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

Decimal Notation

x = 2, x = 0.2

Solution steps

5 x^{2} - 8 x + 12 = 3 x + 10

Move

10

to the left side

5 x^{2} - 8 x + 2 = 3 x

Move

3 x

to the left side

5 x^{2} - 11 x + 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 5 \cdot 2}{2 \cdot 5}

(- 11)^{2} - 4 \cdot 5 \cdot 2 = 9

x_{1, 2} = \frac{- ( - 11 ) \pm 9}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- ( - 11 ) + 9}{2 \cdot 5}, x_{2} = \frac{- ( - 11 ) - 9}{2 \cdot 5}

x = \frac{- ( - 11 ) + 9}{2 \cdot 5} : 2

x = \frac{- ( - 11 ) - 9}{2 \cdot 5} : \frac{1}{5}

The solutions to the quadratic equation are:

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

(a + 4)^{2} = 2 a (5 a - 1) - 7 (a - 2)

4 x^{2} - 3 x + c = 0

5 b^{2} - 25 = 0

x, x^{2} + 3 x - 1 = 0

37 = 30 - x^{2}

What are the solutions to the equation 5x^2-8x+12=3x+10 ?
The solutions to the equation 5x^2-8x+12=3x+10 are x=2,x= 1/5
Find the zeros of 5x^2-8x+12=3x+10
The zeros of 5x^2-8x+12=3x+10 are x=2,x= 1/5