What is the answer to x(x-15)-3=(x+6)(x-6)-18x ?

The answer to x(x-15)-3=(x+6)(x-6)-18x is x=-11

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x(x-15)-3=(x+6)(x-6)-18x

x (x - 15) - 3 = (x + 6) (x - 6) - 18 x

x = - 11

Solution steps

x (x - 15) - 3 = (x + 6) (x - 6) - 18 x

Expand

x (x - 15) : x^{2} - 15 x

x^{2} - 15 x - 3 = (x + 6) (x - 6) - 18 x

Expand

(x + 6) (x - 6) : x^{2} - 36

x^{2} - 15 x - 3 = x^{2} - 36 - 18 x

Move

3

to the right side

x^{2} - 15 x = x^{2} - 18 x - 33

Subtract

x^{2} - 18 x

from both sides

x^{2} - 15 x - (x^{2} - 18 x) = x^{2} - 18 x - 33 - (x^{2} - 18 x)

Simplify

3 x = - 33

Divide both sides by

3

x = - 11

2 (a x + 3) = 4 x - 3 (4 x + 8)

x, 4 x - 2 y = - 8

y, 2 x + y = - 1

- 3 (\frac{7 x}{3} - \frac{2 x}{4}) - \frac{5 x + 1}{3} = \frac{11 x}{6}

(2 x + 3) 2 - 4 (2 x + 3) - 12 = 0

What is the answer to x(x-15)-3=(x+6)(x-6)-18x ?
The answer to x(x-15)-3=(x+6)(x-6)-18x is x=-11
Solve for x: x(x-15)-3=(x+6)(x-6)-18x
The solution is x=-11