25-((x-1)(x-1))=24

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Solution for 25-((x-1)(x-1))=24 equation: 


Simplifying
25 + -1((x + -1)(x + -1)) = 24

Reorder the terms:
25 + -1((-1 + x)(x + -1)) = 24

Reorder the terms:
25 + -1((-1 + x)(-1 + x)) = 24

Multiply (-1 + x) * (-1 + x)
25 + -1((-1(-1 + x) + x(-1 + x))) = 24
25 + -1(((-1 * -1 + x * -1) + x(-1 + x))) = 24
25 + -1(((1 + -1x) + x(-1 + x))) = 24
25 + -1((1 + -1x + (-1 * x + x * x))) = 24
25 + -1((1 + -1x + (-1x + x2))) = 24

Combine like terms: -1x + -1x = -2x
25 + -1((1 + -2x + x2)) = 24
25 + (1 * -1 + -2x * -1 + x2 * -1) = 24
25 + (-1 + 2x + -1x2) = 24

Combine like terms: 25 + -1 = 24
24 + 2x + -1x2 = 24

Add '-24' to each side of the equation.
24 + 2x + -24 + -1x2 = 24 + -24

Reorder the terms:
24 + -24 + 2x + -1x2 = 24 + -24

Combine like terms: 24 + -24 = 0
0 + 2x + -1x2 = 24 + -24
2x + -1x2 = 24 + -24

Combine like terms: 24 + -24 = 0
2x + -1x2 = 0

Solving
2x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + -1x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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