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

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Solution for (7x+9)(3x-7)=0 equation: 


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

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

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

Multiply (9 + 7x) * (-7 + 3x)
(9(-7 + 3x) + 7x * (-7 + 3x)) = 0
((-7 * 9 + 3x * 9) + 7x * (-7 + 3x)) = 0
((-63 + 27x) + 7x * (-7 + 3x)) = 0
(-63 + 27x + (-7 * 7x + 3x * 7x)) = 0
(-63 + 27x + (-49x + 21x2)) = 0

Combine like terms: 27x + -49x = -22x
(-63 + -22x + 21x2) = 0

Solving
-63 + -22x + 21x2 = 0

Solving for variable 'x'.

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


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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-1.285714286, 2.333333333}

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