48=(4x-2)(x+6)

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Solution for 48=(4x-2)(x+6) equation: 


Simplifying
48 = (4x + -2)(x + 6)

Reorder the terms:
48 = (-2 + 4x)(x + 6)

Reorder the terms:
48 = (-2 + 4x)(6 + x)

Multiply (-2 + 4x) * (6 + x)
48 = (-2(6 + x) + 4x * (6 + x))
48 = ((6 * -2 + x * -2) + 4x * (6 + x))
48 = ((-12 + -2x) + 4x * (6 + x))
48 = (-12 + -2x + (6 * 4x + x * 4x))
48 = (-12 + -2x + (24x + 4x2))

Combine like terms: -2x + 24x = 22x
48 = (-12 + 22x + 4x2)

Solving
48 = -12 + 22x + 4x2

Solving for variable 'x'.

Combine like terms: 48 + 12 = 60
60 + -22x + -4x2 = -12 + 22x + 4x2 + 12 + -22x + -4x2

Reorder the terms:
60 + -22x + -4x2 = -12 + 12 + 22x + -22x + 4x2 + -4x2

Combine like terms: -12 + 12 = 0
60 + -22x + -4x2 = 0 + 22x + -22x + 4x2 + -4x2
60 + -22x + -4x2 = 22x + -22x + 4x2 + -4x2

Combine like terms: 22x + -22x = 0
60 + -22x + -4x2 = 0 + 4x2 + -4x2
60 + -22x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
60 + -22x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(30 + -11x + -2x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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 = {2, -7.5}

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