(3x-3)(4x-14)=

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Solution for (3x-3)(4x-14)= equation: 


Simplifying
(3x + -3)(4x + -14) = 0

Reorder the terms:
(-3 + 3x)(4x + -14) = 0

Reorder the terms:
(-3 + 3x)(-14 + 4x) = 0

Multiply (-3 + 3x) * (-14 + 4x)
(-3(-14 + 4x) + 3x * (-14 + 4x)) = 0
((-14 * -3 + 4x * -3) + 3x * (-14 + 4x)) = 0
((42 + -12x) + 3x * (-14 + 4x)) = 0
(42 + -12x + (-14 * 3x + 4x * 3x)) = 0
(42 + -12x + (-42x + 12x2)) = 0

Combine like terms: -12x + -42x = -54x
(42 + -54x + 12x2) = 0

Solving
42 + -54x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(7 + -9x + 2x2) = 0

Factor a trinomial.
6((1 + -1x)(7 + -2x)) = 0

Ignore the factor 6.

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {1, 3.5}

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