(4n+2)+(3x-5)+2(7x+5)(2x-6)=

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Solution for (4n+2)+(3x-5)+2(7x+5)(2x-6)= equation: 


Simplifying
(4n + 2) + (3x + -5) + 2(7x + 5)(2x + -6) = 0

Reorder the terms:
(2 + 4n) + (3x + -5) + 2(7x + 5)(2x + -6) = 0

Remove parenthesis around (2 + 4n)
2 + 4n + (3x + -5) + 2(7x + 5)(2x + -6) = 0

Reorder the terms:
2 + 4n + (-5 + 3x) + 2(7x + 5)(2x + -6) = 0

Remove parenthesis around (-5 + 3x)
2 + 4n + -5 + 3x + 2(7x + 5)(2x + -6) = 0

Reorder the terms:
2 + 4n + -5 + 3x + 2(5 + 7x)(2x + -6) = 0

Reorder the terms:
2 + 4n + -5 + 3x + 2(5 + 7x)(-6 + 2x) = 0

Multiply (5 + 7x) * (-6 + 2x)
2 + 4n + -5 + 3x + 2(5(-6 + 2x) + 7x * (-6 + 2x)) = 0
2 + 4n + -5 + 3x + 2((-6 * 5 + 2x * 5) + 7x * (-6 + 2x)) = 0
2 + 4n + -5 + 3x + 2((-30 + 10x) + 7x * (-6 + 2x)) = 0
2 + 4n + -5 + 3x + 2(-30 + 10x + (-6 * 7x + 2x * 7x)) = 0
2 + 4n + -5 + 3x + 2(-30 + 10x + (-42x + 14x2)) = 0

Combine like terms: 10x + -42x = -32x
2 + 4n + -5 + 3x + 2(-30 + -32x + 14x2) = 0
2 + 4n + -5 + 3x + (-30 * 2 + -32x * 2 + 14x2 * 2) = 0
2 + 4n + -5 + 3x + (-60 + -64x + 28x2) = 0

Reorder the terms:
2 + -5 + -60 + 4n + 3x + -64x + 28x2 = 0

Combine like terms: 2 + -5 = -3
-3 + -60 + 4n + 3x + -64x + 28x2 = 0

Combine like terms: -3 + -60 = -63
-63 + 4n + 3x + -64x + 28x2 = 0

Combine like terms: 3x + -64x = -61x
-63 + 4n + -61x + 28x2 = 0

Solving
-63 + 4n + -61x + 28x2 = 0

Solving for variable 'n'.

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

Add '63' to each side of the equation.
-63 + 4n + -61x + 63 + 28x2 = 0 + 63

Reorder the terms:
-63 + 63 + 4n + -61x + 28x2 = 0 + 63

Combine like terms: -63 + 63 = 0
0 + 4n + -61x + 28x2 = 0 + 63
4n + -61x + 28x2 = 0 + 63

Combine like terms: 0 + 63 = 63
4n + -61x + 28x2 = 63

Add '61x' to each side of the equation.
4n + -61x + 61x + 28x2 = 63 + 61x

Combine like terms: -61x + 61x = 0
4n + 0 + 28x2 = 63 + 61x
4n + 28x2 = 63 + 61x

Add '-28x2' to each side of the equation.
4n + 28x2 + -28x2 = 63 + 61x + -28x2

Combine like terms: 28x2 + -28x2 = 0
4n + 0 = 63 + 61x + -28x2
4n = 63 + 61x + -28x2

Divide each side by '4'.
n = 15.75 + 15.25x + -7x2

Simplifying
n = 15.75 + 15.25x + -7x2

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