(x+1)(x+4)+16(x+3)-(x^2-2)=180

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Solution for (x+1)(x+4)+16(x+3)-(x^2-2)=180 equation: 


Simplifying
(x + 1)(x + 4) + 16(x + 3) + -1(x2 + -2) = 180

Reorder the terms:
(1 + x)(x + 4) + 16(x + 3) + -1(x2 + -2) = 180

Reorder the terms:
(1 + x)(4 + x) + 16(x + 3) + -1(x2 + -2) = 180

Multiply (1 + x) * (4 + x)
(1(4 + x) + x(4 + x)) + 16(x + 3) + -1(x2 + -2) = 180
((4 * 1 + x * 1) + x(4 + x)) + 16(x + 3) + -1(x2 + -2) = 180
((4 + 1x) + x(4 + x)) + 16(x + 3) + -1(x2 + -2) = 180
(4 + 1x + (4 * x + x * x)) + 16(x + 3) + -1(x2 + -2) = 180
(4 + 1x + (4x + x2)) + 16(x + 3) + -1(x2 + -2) = 180

Combine like terms: 1x + 4x = 5x
(4 + 5x + x2) + 16(x + 3) + -1(x2 + -2) = 180

Reorder the terms:
4 + 5x + x2 + 16(3 + x) + -1(x2 + -2) = 180
4 + 5x + x2 + (3 * 16 + x * 16) + -1(x2 + -2) = 180
4 + 5x + x2 + (48 + 16x) + -1(x2 + -2) = 180

Reorder the terms:
4 + 5x + x2 + 48 + 16x + -1(-2 + x2) = 180
4 + 5x + x2 + 48 + 16x + (-2 * -1 + x2 * -1) = 180
4 + 5x + x2 + 48 + 16x + (2 + -1x2) = 180

Reorder the terms:
4 + 48 + 2 + 5x + 16x + x2 + -1x2 = 180

Combine like terms: 4 + 48 = 52
52 + 2 + 5x + 16x + x2 + -1x2 = 180

Combine like terms: 52 + 2 = 54
54 + 5x + 16x + x2 + -1x2 = 180

Combine like terms: 5x + 16x = 21x
54 + 21x + x2 + -1x2 = 180

Combine like terms: x2 + -1x2 = 0
54 + 21x + 0 = 180
54 + 21x = 180

Solving
54 + 21x = 180

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 21x = 180 + -54

Combine like terms: 54 + -54 = 0
0 + 21x = 180 + -54
21x = 180 + -54

Combine like terms: 180 + -54 = 126
21x = 126

Divide each side by '21'.
x = 6

Simplifying
x = 6

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