(2x-5)(x+5)=0

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Solution for (2x-5)(x+5)=0 equation: 


Simplifying
(2x + -5)(x + 5) = 0

Reorder the terms:
(-5 + 2x)(x + 5) = 0

Reorder the terms:
(-5 + 2x)(5 + x) = 0

Multiply (-5 + 2x) * (5 + x)
(-5(5 + x) + 2x * (5 + x)) = 0
((5 * -5 + x * -5) + 2x * (5 + x)) = 0
((-25 + -5x) + 2x * (5 + x)) = 0
(-25 + -5x + (5 * 2x + x * 2x)) = 0
(-25 + -5x + (10x + 2x2)) = 0

Combine like terms: -5x + 10x = 5x
(-25 + 5x + 2x2) = 0

Solving
-25 + 5x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -1x)(5 + -2x) = 0


Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {-5, 2.5}

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