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Popular >

(x-6)(x+a)=x^2+6x-6a

Solution

(x - 6) (x + a) = x^{2} + 6 x - 6 a

Solution

x = 0

Solution steps

(x - 6) (x + a) = x^{2} + 6 x - 6 a

Expand

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

x^{2} + a x - 6 x - 6 a = x^{2} + 6 x - 6 a

Move

6 a

to the right side

x^{2} + a x - 6 x = x^{2} + 6 x

Subtract

x^{2} + 6 x

from both sides

x^{2} + a x - 6 x - (x^{2} + 6 x) = x^{2} + 6 x - (x^{2} + 6 x)

Simplify

a x - 12 x = 0

Factor

a x - 12 x : x (a - 12)

x (a - 12) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

x = 0

Popular Examples

6 x + 20 = 140

100 = n + 20

20 k + 5 = 5 k + 65

a + 15 = 2

(4z+1)/3+4=(z+3)/2+2(z+2)

\frac{4 z + 1}{3} + 4 = \frac{z + 3}{2} + 2 (z + 2)

Frequently Asked Questions (FAQ)

What is the answer to (x-6)(x+a)=x^2+6x-6a ?
The answer to (x-6)(x+a)=x^2+6x-6a is x=0