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

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


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

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

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

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

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

Solving
-8 + 2x + 3x2 = 448

Solving for variable 'x'.

Reorder the terms:
-8 + -448 + 2x + 3x2 = 448 + -448

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

Combine like terms: 448 + -448 = 0
-456 + 2x + 3x2 = 0

Factor a trinomial.
(-38 + -3x)(12 + -1x) = 0


Subproblem 1
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

Subproblem 2
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
Solution
x = {-12.66666667, 12}

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