448=(x+2)(3x-4)

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Solution for 448=(x+2)(3x-4) equation: 


Simplifying
448 = (x + 2)(3x + -4)

Reorder the terms:
448 = (2 + x)(3x + -4)

Reorder the terms:
448 = (2 + x)(-4 + 3x)

Multiply (2 + x) * (-4 + 3x)
448 = (2(-4 + 3x) + x(-4 + 3x))
448 = ((-4 * 2 + 3x * 2) + x(-4 + 3x))
448 = ((-8 + 6x) + x(-4 + 3x))
448 = (-8 + 6x + (-4 * x + 3x * x))
448 = (-8 + 6x + (-4x + 3x2))

Combine like terms: 6x + -4x = 2x
448 = (-8 + 2x + 3x2)

Solving
448 = -8 + 2x + 3x2

Solving for variable 'x'.

Combine like terms: 448 + 8 = 456
456 + -2x + -3x2 = -8 + 2x + 3x2 + 8 + -2x + -3x2

Reorder the terms:
456 + -2x + -3x2 = -8 + 8 + 2x + -2x + 3x2 + -3x2

Combine like terms: -8 + 8 = 0
456 + -2x + -3x2 = 0 + 2x + -2x + 3x2 + -3x2
456 + -2x + -3x2 = 2x + -2x + 3x2 + -3x2

Combine like terms: 2x + -2x = 0
456 + -2x + -3x2 = 0 + 3x2 + -3x2
456 + -2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
456 + -2x + -3x2 = 0

Factor a trinomial.
(12 + -1x)(38 + 3x) = 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 '(38 + 3x)' equal to zero and attempt to solve:

Simplifying
38 + 3x = 0

Solving
38 + 3x = 0

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

Add '-38' to each side of the equation.
38 + -38 + 3x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 3x = 0 + -38
3x = 0 + -38

Combine like terms: 0 + -38 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667
Solution
x = {12, -12.66666667}

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