=(4-2x)(1-3x)

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Solution for =(4-2x)(1-3x) equation: 


Simplifying
0 = (4 + -2x)(1 + -3x)

Multiply (4 + -2x) * (1 + -3x)
0 = (4(1 + -3x) + -2x * (1 + -3x))
0 = ((1 * 4 + -3x * 4) + -2x * (1 + -3x))
0 = ((4 + -12x) + -2x * (1 + -3x))
0 = (4 + -12x + (1 * -2x + -3x * -2x))
0 = (4 + -12x + (-2x + 6x2))

Combine like terms: -12x + -2x = -14x
0 = (4 + -14x + 6x2)

Solving
0 = 4 + -14x + 6x2

Solving for variable 'x'.

Combine like terms: 0 + -4 = -4
-4 + 14x + -6x2 = 4 + -14x + 6x2 + -4 + 14x + -6x2

Reorder the terms:
-4 + 14x + -6x2 = 4 + -4 + -14x + 14x + 6x2 + -6x2

Combine like terms: 4 + -4 = 0
-4 + 14x + -6x2 = 0 + -14x + 14x + 6x2 + -6x2
-4 + 14x + -6x2 = -14x + 14x + 6x2 + -6x2

Combine like terms: -14x + 14x = 0
-4 + 14x + -6x2 = 0 + 6x2 + -6x2
-4 + 14x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-4 + 14x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 7x + -3x2) = 0

Factor a trinomial.
2((-2 + x)(1 + -3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

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

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

Simplifying
x = 2

Subproblem 2
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {2, 0.3333333333}

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