What are the solutions to the equation 5(5+3)=x(x+6) ?

The solutions to the equation 5(5+3)=x(x+6) are x=4,x=-10

Find the zeros of 5(5+3)=x(x+6)

The zeros of 5(5+3)=x(x+6) are x=4,x=-10

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5 (5 + 3) = x (x + 6)

x = 4, x = - 10

Solution steps

5 (5 + 3) = x (x + 6)

Expand

5 (5 + 3) : 40

Expand

x (x + 6) : x^{2} + 6 x

40 = x^{2} + 6 x

Switch sides

x^{2} + 6 x = 40

Move

40

to the left side

x^{2} + 6 x - 40 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot ( - 40 )}{2 \cdot 1}

6^{2} - 4 \cdot 1 \cdot (- 40) = 14

x_{1, 2} = \frac{- 6 \pm 14}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 6 + 14}{2 \cdot 1}, x_{2} = \frac{- 6 - 14}{2 \cdot 1}

x = \frac{- 6 + 14}{2 \cdot 1} : 4

x = \frac{- 6 - 14}{2 \cdot 1} : - 10

The solutions to the quadratic equation are:

x = 4, x = - 10

1.5 t + 0.05 t^{2} = 0

2600 + 2 x + 0.001 x^{2} = 0

a, a^{2} + b^{2} + c^{2} = 32

8 q - q^{2} = 0

a^{2} + 8^{2} = 1 3^{2}

What are the solutions to the equation 5(5+3)=x(x+6) ?
The solutions to the equation 5(5+3)=x(x+6) are x=4,x=-10
Find the zeros of 5(5+3)=x(x+6)
The zeros of 5(5+3)=x(x+6) are x=4,x=-10