(6x-2)(14x+18)=

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Solution for (6x-2)(14x+18)= equation:


Simplifying
(6x + -2)(14x + 18) = 0

Reorder the terms:
(-2 + 6x)(14x + 18) = 0

Reorder the terms:
(-2 + 6x)(18 + 14x) = 0

Multiply (-2 + 6x) * (18 + 14x)
(-2(18 + 14x) + 6x * (18 + 14x)) = 0
((18 * -2 + 14x * -2) + 6x * (18 + 14x)) = 0
((-36 + -28x) + 6x * (18 + 14x)) = 0
(-36 + -28x + (18 * 6x + 14x * 6x)) = 0
(-36 + -28x + (108x + 84x2)) = 0

Combine like terms: -28x + 108x = 80x
(-36 + 80x + 84x2) = 0

Solving
-36 + 80x + 84x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-9 + 20x + 21x2) = 0

Factor a trinomial.
4((-9 + -7x)(1 + -3x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -7x)' equal to zero and attempt to solve:

Simplifying
-9 + -7x = 0

Solving
-9 + -7x = 0

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

Add '9' to each side of the equation.
-9 + 9 + -7x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = 0 + 9
-7x = 0 + 9

Combine like terms: 0 + 9 = 9
-7x = 9

Divide each side by '-7'.
x = -1.285714286

Simplifying
x = -1.285714286

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 = {-1.285714286, 0.3333333333}

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