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

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


Simplifying
(x + 5)(x + 5) + -1(x + 2)(x + -2) = 0

Reorder the terms:
(5 + x)(x + 5) + -1(x + 2)(x + -2) = 0

Reorder the terms:
(5 + x)(5 + x) + -1(x + 2)(x + -2) = 0

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + -1(x + 2)(x + -2) = 0
((5 * 5 + x * 5) + x(5 + x)) + -1(x + 2)(x + -2) = 0
((25 + 5x) + x(5 + x)) + -1(x + 2)(x + -2) = 0
(25 + 5x + (5 * x + x * x)) + -1(x + 2)(x + -2) = 0
(25 + 5x + (5x + x2)) + -1(x + 2)(x + -2) = 0

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + -1(x + 2)(x + -2) = 0

Reorder the terms:
25 + 10x + x2 + -1(2 + x)(x + -2) = 0

Reorder the terms:
25 + 10x + x2 + -1(2 + x)(-2 + x) = 0

Multiply (2 + x) * (-2 + x)
25 + 10x + x2 + -1(2(-2 + x) + x(-2 + x)) = 0
25 + 10x + x2 + -1((-2 * 2 + x * 2) + x(-2 + x)) = 0
25 + 10x + x2 + -1((-4 + 2x) + x(-2 + x)) = 0
25 + 10x + x2 + -1(-4 + 2x + (-2 * x + x * x)) = 0
25 + 10x + x2 + -1(-4 + 2x + (-2x + x2)) = 0

Combine like terms: 2x + -2x = 0
25 + 10x + x2 + -1(-4 + 0 + x2) = 0
25 + 10x + x2 + -1(-4 + x2) = 0
25 + 10x + x2 + (-4 * -1 + x2 * -1) = 0
25 + 10x + x2 + (4 + -1x2) = 0

Reorder the terms:
25 + 4 + 10x + x2 + -1x2 = 0

Combine like terms: 25 + 4 = 29
29 + 10x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
29 + 10x + 0 = 0
29 + 10x = 0

Solving
29 + 10x = 0

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 10x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 10x = 0 + -29
10x = 0 + -29

Combine like terms: 0 + -29 = -29
10x = -29

Divide each side by '10'.
x = -2.9

Simplifying
x = -2.9

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