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Popular >

(x-5)^2=(x+5)^2-ax

Solution

(x - 5)^{2} = (x + 5)^{2} - a x

Solution

x = 0

Solution steps

(x - 5)^{2} = (x + 5)^{2} - a x

Expand

(x - 5)^{2} : x^{2} - 10 x + 25

Expand

(x + 5)^{2} - a x : x^{2} + 10 x + 25 - a x

x^{2} - 10 x + 25 = x^{2} + 10 x + 25 - a x

Move

25

to the right side

x^{2} - 10 x = x^{2} + 10 x - a x

Subtract

x^{2} + 10 x - a x

from both sides

x^{2} - 10 x - (x^{2} + 10 x - a x) = x^{2} + 10 x - a x - (x^{2} + 10 x - a x)

Simplify

a x - 20 x = 0

Factor

a x - 20 x : x (a - 20)

x (a - 20) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

x = 0

Popular Examples

4 (3 - 5 x) = 6 - 4 x

4 (x + 2) = 2 (x + 7)

9 = - 8 s - 7

11 + 22 x = 9 + 30 x

f = 2 (0) + 1

Frequently Asked Questions (FAQ)

What is the answer to (x-5)^2=(x+5)^2-ax ?
The answer to (x-5)^2=(x+5)^2-ax is x=0