(x*x)+10x+9=(x+5)(x+5)-16

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Solution for (x*x)+10x+9=(x+5)(x+5)-16 equation: 


Simplifying
(x * x) + 10x + 9 = (x + 5)(x + 5) + -16

Multiply x * x
(x2) + 10x + 9 = (x + 5)(x + 5) + -16
x2 + 10x + 9 = (x + 5)(x + 5) + -16

Reorder the terms:
9 + 10x + x2 = (x + 5)(x + 5) + -16

Reorder the terms:
9 + 10x + x2 = (5 + x)(x + 5) + -16

Reorder the terms:
9 + 10x + x2 = (5 + x)(5 + x) + -16

Multiply (5 + x) * (5 + x)
9 + 10x + x2 = (5(5 + x) + x(5 + x)) + -16
9 + 10x + x2 = ((5 * 5 + x * 5) + x(5 + x)) + -16
9 + 10x + x2 = ((25 + 5x) + x(5 + x)) + -16
9 + 10x + x2 = (25 + 5x + (5 * x + x * x)) + -16
9 + 10x + x2 = (25 + 5x + (5x + x2)) + -16

Combine like terms: 5x + 5x = 10x
9 + 10x + x2 = (25 + 10x + x2) + -16

Reorder the terms:
9 + 10x + x2 = 25 + -16 + 10x + x2

Combine like terms: 25 + -16 = 9
9 + 10x + x2 = 9 + 10x + x2

Add '-9' to each side of the equation.
9 + 10x + -9 + x2 = 9 + 10x + -9 + x2

Reorder the terms:
9 + -9 + 10x + x2 = 9 + 10x + -9 + x2

Combine like terms: 9 + -9 = 0
0 + 10x + x2 = 9 + 10x + -9 + x2
10x + x2 = 9 + 10x + -9 + x2

Reorder the terms:
10x + x2 = 9 + -9 + 10x + x2

Combine like terms: 9 + -9 = 0
10x + x2 = 0 + 10x + x2
10x + x2 = 10x + x2

Add '-10x' to each side of the equation.
10x + -10x + x2 = 10x + -10x + x2

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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