(7x-3)(2x+9)=0

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Solution for (7x-3)(2x+9)=0 equation: 


Simplifying
(7x + -3)(2x + 9) = 0

Reorder the terms:
(-3 + 7x)(2x + 9) = 0

Reorder the terms:
(-3 + 7x)(9 + 2x) = 0

Multiply (-3 + 7x) * (9 + 2x)
(-3(9 + 2x) + 7x * (9 + 2x)) = 0
((9 * -3 + 2x * -3) + 7x * (9 + 2x)) = 0
((-27 + -6x) + 7x * (9 + 2x)) = 0
(-27 + -6x + (9 * 7x + 2x * 7x)) = 0
(-27 + -6x + (63x + 14x2)) = 0

Combine like terms: -6x + 63x = 57x
(-27 + 57x + 14x2) = 0

Solving
-27 + 57x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(3 + -7x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve:

Simplifying
3 + -7x = 0

Solving
3 + -7x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -7x = 0 + -3

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

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

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286
Solution
x = {-4.5, 0.4285714286}

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