(7x-7)(9x+3)=

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Solution for (7x-7)(9x+3)= equation: 


Simplifying
(7x + -7)(9x + 3) = 0

Reorder the terms:
(-7 + 7x)(9x + 3) = 0

Reorder the terms:
(-7 + 7x)(3 + 9x) = 0

Multiply (-7 + 7x) * (3 + 9x)
(-7(3 + 9x) + 7x * (3 + 9x)) = 0
((3 * -7 + 9x * -7) + 7x * (3 + 9x)) = 0
((-21 + -63x) + 7x * (3 + 9x)) = 0
(-21 + -63x + (3 * 7x + 9x * 7x)) = 0
(-21 + -63x + (21x + 63x2)) = 0

Combine like terms: -63x + 21x = -42x
(-21 + -42x + 63x2) = 0

Solving
-21 + -42x + 63x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '21'.
21(-1 + -2x + 3x2) = 0

Factor a trinomial.
21((-1 + -3x)(1 + -1x)) = 0

Ignore the factor 21.

Subproblem 1
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

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 = {-0.3333333333, 1}

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