(28)(48)=(2x-6)(x+8)

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Solution for (28)(48)=(2x-6)(x+8) equation: 


Simplifying
(28)(48) = (2x + -6)(x + 8)

Multiply 28 * 48
1344 = (2x + -6)(x + 8)

Reorder the terms:
1344 = (-6 + 2x)(x + 8)

Reorder the terms:
1344 = (-6 + 2x)(8 + x)

Multiply (-6 + 2x) * (8 + x)
1344 = (-6(8 + x) + 2x * (8 + x))
1344 = ((8 * -6 + x * -6) + 2x * (8 + x))
1344 = ((-48 + -6x) + 2x * (8 + x))
1344 = (-48 + -6x + (8 * 2x + x * 2x))
1344 = (-48 + -6x + (16x + 2x2))

Combine like terms: -6x + 16x = 10x
1344 = (-48 + 10x + 2x2)

Solving
1344 = -48 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 1344 + 48 = 1392
1392 + -10x + -2x2 = -48 + 10x + 2x2 + 48 + -10x + -2x2

Reorder the terms:
1392 + -10x + -2x2 = -48 + 48 + 10x + -10x + 2x2 + -2x2

Combine like terms: -48 + 48 = 0
1392 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
1392 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
1392 + -10x + -2x2 = 0 + 2x2 + -2x2
1392 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
1392 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(696 + -5x + -1x2) = 0

Factor a trinomial.
2((24 + -1x)(29 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve:

Simplifying
24 + -1x = 0

Solving
24 + -1x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 0 + -24
-1x = 0 + -24

Combine like terms: 0 + -24 = -24
-1x = -24

Divide each side by '-1'.
x = 24

Simplifying
x = 24

Subproblem 2
Set the factor '(29 + x)' equal to zero and attempt to solve:

Simplifying
29 + x = 0

Solving
29 + x = 0

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

Add '-29' to each side of the equation.
29 + -29 + x = 0 + -29

Combine like terms: 29 + -29 = 0
0 + x = 0 + -29
x = 0 + -29

Combine like terms: 0 + -29 = -29
x = -29

Simplifying
x = -29
Solution
x = {24, -29}

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