(x+5)(x-5)-x(x-1)=0

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Solution for (x+5)(x-5)-x(x-1)=0 equation:


Simplifying
(x + 5)(x + -5) + -1x(x + -1) = 0

Reorder the terms:
(5 + x)(x + -5) + -1x(x + -1) = 0

Reorder the terms:
(5 + x)(-5 + x) + -1x(x + -1) = 0

Multiply (5 + x) * (-5 + x)
(5(-5 + x) + x(-5 + x)) + -1x(x + -1) = 0
((-5 * 5 + x * 5) + x(-5 + x)) + -1x(x + -1) = 0
((-25 + 5x) + x(-5 + x)) + -1x(x + -1) = 0
(-25 + 5x + (-5 * x + x * x)) + -1x(x + -1) = 0
(-25 + 5x + (-5x + x2)) + -1x(x + -1) = 0

Combine like terms: 5x + -5x = 0
(-25 + 0 + x2) + -1x(x + -1) = 0
(-25 + x2) + -1x(x + -1) = 0

Reorder the terms:
-25 + x2 + -1x(-1 + x) = 0
-25 + x2 + (-1 * -1x + x * -1x) = 0
-25 + x2 + (1x + -1x2) = 0

Reorder the terms:
-25 + 1x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
-25 + 1x + 0 = 0
-25 + 1x = 0

Solving
-25 + 1x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25' to each side of the equation.
-25 + 25 + 1x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 1x = 0 + 25
1x = 0 + 25

Combine like terms: 0 + 25 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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