(9x-2)(2x+5)=

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Solution for (9x-2)(2x+5)= equation: 


Simplifying
(9x + -2)(2x + 5) = 0

Reorder the terms:
(-2 + 9x)(2x + 5) = 0

Reorder the terms:
(-2 + 9x)(5 + 2x) = 0

Multiply (-2 + 9x) * (5 + 2x)
(-2(5 + 2x) + 9x * (5 + 2x)) = 0
((5 * -2 + 2x * -2) + 9x * (5 + 2x)) = 0
((-10 + -4x) + 9x * (5 + 2x)) = 0
(-10 + -4x + (5 * 9x + 2x * 9x)) = 0
(-10 + -4x + (45x + 18x2)) = 0

Combine like terms: -4x + 45x = 41x
(-10 + 41x + 18x2) = 0

Solving
-10 + 41x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(2 + -9x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(2 + -9x)' equal to zero and attempt to solve:

Simplifying
2 + -9x = 0

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

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

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

Divide each side by '-9'.
x = 0.2222222222

Simplifying
x = 0.2222222222
Solution
x = {-2.5, 0.2222222222}

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