(6x-3)(-2x-14)=

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Solution for (6x-3)(-2x-14)= equation:


Simplifying
(6x + -3)(-2x + -14) = 0

Reorder the terms:
(-3 + 6x)(-2x + -14) = 0

Reorder the terms:
(-3 + 6x)(-14 + -2x) = 0

Multiply (-3 + 6x) * (-14 + -2x)
(-3(-14 + -2x) + 6x * (-14 + -2x)) = 0
((-14 * -3 + -2x * -3) + 6x * (-14 + -2x)) = 0
((42 + 6x) + 6x * (-14 + -2x)) = 0
(42 + 6x + (-14 * 6x + -2x * 6x)) = 0
(42 + 6x + (-84x + -12x2)) = 0

Combine like terms: 6x + -84x = -78x
(42 + -78x + -12x2) = 0

Solving
42 + -78x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(7 + -13x + -2x2) = 0

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

Ignore the factor 6.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

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

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

Simplifying
x = -7
Solution
x = {0.5, -7}

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