(3x+2)(7x-7)=

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Solution for (3x+2)(7x-7)= equation: 


Simplifying
(3x + 2)(7x + -7) = 0

Reorder the terms:
(2 + 3x)(7x + -7) = 0

Reorder the terms:
(2 + 3x)(-7 + 7x) = 0

Multiply (2 + 3x) * (-7 + 7x)
(2(-7 + 7x) + 3x * (-7 + 7x)) = 0
((-7 * 2 + 7x * 2) + 3x * (-7 + 7x)) = 0
((-14 + 14x) + 3x * (-7 + 7x)) = 0
(-14 + 14x + (-7 * 3x + 7x * 3x)) = 0
(-14 + 14x + (-21x + 21x2)) = 0

Combine like terms: 14x + -21x = -7x
(-14 + -7x + 21x2) = 0

Solving
-14 + -7x + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-2 + -1x + 3x2) = 0

Factor a trinomial.
7((-2 + -3x)(1 + -1x)) = 0

Ignore the factor 7.

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

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
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
Solution
x = {-0.6666666667, 1}

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