(7x+9)(2x-9)=0

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Solution for (7x+9)(2x-9)=0 equation: 


Simplifying
(7x + 9)(2x + -9) = 0

Reorder the terms:
(9 + 7x)(2x + -9) = 0

Reorder the terms:
(9 + 7x)(-9 + 2x) = 0

Multiply (9 + 7x) * (-9 + 2x)
(9(-9 + 2x) + 7x * (-9 + 2x)) = 0
((-9 * 9 + 2x * 9) + 7x * (-9 + 2x)) = 0
((-81 + 18x) + 7x * (-9 + 2x)) = 0
(-81 + 18x + (-9 * 7x + 2x * 7x)) = 0
(-81 + 18x + (-63x + 14x2)) = 0

Combine like terms: 18x + -63x = -45x
(-81 + -45x + 14x2) = 0

Solving
-81 + -45x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -7x)(9 + -2x) = 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 '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 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 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {-1.285714286, 4.5}

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