(x+5)(x+5)-(x-3)(x+5)=

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Solution for (x+5)(x+5)-(x-3)(x+5)= equation: 


Simplifying
(x + 5)(x + 5) + -1(x + -3)(x + 5) = 0

Reorder the terms:
(5 + x)(x + 5) + -1(x + -3)(x + 5) = 0

Reorder the terms:
(5 + x)(5 + x) + -1(x + -3)(x + 5) = 0

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) + -1(x + -3)(x + 5) = 0
((5 * 5 + x * 5) + x(5 + x)) + -1(x + -3)(x + 5) = 0
((25 + 5x) + x(5 + x)) + -1(x + -3)(x + 5) = 0
(25 + 5x + (5 * x + x * x)) + -1(x + -3)(x + 5) = 0
(25 + 5x + (5x + x2)) + -1(x + -3)(x + 5) = 0

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) + -1(x + -3)(x + 5) = 0

Reorder the terms:
25 + 10x + x2 + -1(-3 + x)(x + 5) = 0

Reorder the terms:
25 + 10x + x2 + -1(-3 + x)(5 + x) = 0

Multiply (-3 + x) * (5 + x)
25 + 10x + x2 + -1(-3(5 + x) + x(5 + x)) = 0
25 + 10x + x2 + -1((5 * -3 + x * -3) + x(5 + x)) = 0
25 + 10x + x2 + -1((-15 + -3x) + x(5 + x)) = 0
25 + 10x + x2 + -1(-15 + -3x + (5 * x + x * x)) = 0
25 + 10x + x2 + -1(-15 + -3x + (5x + x2)) = 0

Combine like terms: -3x + 5x = 2x
25 + 10x + x2 + -1(-15 + 2x + x2) = 0
25 + 10x + x2 + (-15 * -1 + 2x * -1 + x2 * -1) = 0
25 + 10x + x2 + (15 + -2x + -1x2) = 0

Reorder the terms:
25 + 15 + 10x + -2x + x2 + -1x2 = 0

Combine like terms: 25 + 15 = 40
40 + 10x + -2x + x2 + -1x2 = 0

Combine like terms: 10x + -2x = 8x
40 + 8x + x2 + -1x2 = 0

Combine like terms: x2 + -1x2 = 0
40 + 8x + 0 = 0
40 + 8x = 0

Solving
40 + 8x = 0

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 8x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 8x = 0 + -40
8x = 0 + -40

Combine like terms: 0 + -40 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5

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