What are the solutions to the equation x(x+7)=30 ?

The solutions to the equation x(x+7)=30 are x=3,x=-10

Find the zeros of x(x+7)=30

The zeros of x(x+7)=30 are x=3,x=-10

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x (x + 7) = 30

x = 3, x = - 10

Solution steps

x (x + 7) = 30

Expand

x (x + 7) : x^{2} + 7 x

x^{2} + 7 x = 30

Move

30

to the left side

x^{2} + 7 x - 30 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 1 \cdot ( - 30 )}{2 \cdot 1}

7^{2} - 4 \cdot 1 \cdot (- 30) = 13

x_{1, 2} = \frac{- 7 \pm 13}{2 \cdot 1}

Separate the solutions

x_{1} = \frac{- 7 + 13}{2 \cdot 1}, x_{2} = \frac{- 7 - 13}{2 \cdot 1}

x = \frac{- 7 + 13}{2 \cdot 1} : 3

x = \frac{- 7 - 13}{2 \cdot 1} : - 10

The solutions to the quadratic equation are:

x = 3, x = - 10

X^{2} = 9

(3 x - 5)^{2} + (2 x - 7)^{2} = (5 x - 3)^{2}

w^{2} + 15 = 8 w

x, y^{2} - 4 x y + 4 x^{2} = 0

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

What are the solutions to the equation x(x+7)=30 ?
The solutions to the equation x(x+7)=30 are x=3,x=-10
Find the zeros of x(x+7)=30
The zeros of x(x+7)=30 are x=3,x=-10