(2x+4)(x+4)=196+3x

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Solution for (2x+4)(x+4)=196+3x equation: 


Simplifying
(2x + 4)(x + 4) = 196 + 3x

Reorder the terms:
(4 + 2x)(x + 4) = 196 + 3x

Reorder the terms:
(4 + 2x)(4 + x) = 196 + 3x

Multiply (4 + 2x) * (4 + x)
(4(4 + x) + 2x * (4 + x)) = 196 + 3x
((4 * 4 + x * 4) + 2x * (4 + x)) = 196 + 3x
((16 + 4x) + 2x * (4 + x)) = 196 + 3x
(16 + 4x + (4 * 2x + x * 2x)) = 196 + 3x
(16 + 4x + (8x + 2x2)) = 196 + 3x

Combine like terms: 4x + 8x = 12x
(16 + 12x + 2x2) = 196 + 3x

Solving
16 + 12x + 2x2 = 196 + 3x

Solving for variable 'x'.

Reorder the terms:
16 + -196 + 12x + -3x + 2x2 = 196 + 3x + -196 + -3x

Combine like terms: 16 + -196 = -180
-180 + 12x + -3x + 2x2 = 196 + 3x + -196 + -3x

Combine like terms: 12x + -3x = 9x
-180 + 9x + 2x2 = 196 + 3x + -196 + -3x

Reorder the terms:
-180 + 9x + 2x2 = 196 + -196 + 3x + -3x

Combine like terms: 196 + -196 = 0
-180 + 9x + 2x2 = 0 + 3x + -3x
-180 + 9x + 2x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-180 + 9x + 2x2 = 0

Factor a trinomial.
(-12 + -1x)(15 + -2x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying
15 + -2x = 0

Solving
15 + -2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 0 + -15
-2x = 0 + -15

Combine like terms: 0 + -15 = -15
-2x = -15

Divide each side by '-2'.
x = 7.5

Simplifying
x = 7.5
Solution
x = {-12, 7.5}

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