7x-3x+8x(9+x)=184

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Solution for 7x-3x+8x(9+x)=184 equation: 


Simplifying
7x + -3x + 8x(9 + x) = 184
7x + -3x + (9 * 8x + x * 8x) = 184
7x + -3x + (72x + 8x2) = 184

Combine like terms: 7x + -3x = 4x
4x + 72x + 8x2 = 184

Combine like terms: 4x + 72x = 76x
76x + 8x2 = 184

Solving
76x + 8x2 = 184

Solving for variable 'x'.

Reorder the terms:
-184 + 76x + 8x2 = 184 + -184

Combine like terms: 184 + -184 = 0
-184 + 76x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-46 + 19x + 2x2) = 0

Factor a trinomial.
4((-23 + -2x)(2 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-23 + -2x)' equal to zero and attempt to solve:

Simplifying
-23 + -2x = 0

Solving
-23 + -2x = 0

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

Add '23' to each side of the equation.
-23 + 23 + -2x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + -2x = 0 + 23
-2x = 0 + 23

Combine like terms: 0 + 23 = 23
-2x = 23

Divide each side by '-2'.
x = -11.5

Simplifying
x = -11.5

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-11.5, 2}

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