(9x-10)(2x+9)=

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Solution for (9x-10)(2x+9)= equation: 


Simplifying
(9x + -10)(2x + 9) = 0

Reorder the terms:
(-10 + 9x)(2x + 9) = 0

Reorder the terms:
(-10 + 9x)(9 + 2x) = 0

Multiply (-10 + 9x) * (9 + 2x)
(-10(9 + 2x) + 9x * (9 + 2x)) = 0
((9 * -10 + 2x * -10) + 9x * (9 + 2x)) = 0
((-90 + -20x) + 9x * (9 + 2x)) = 0
(-90 + -20x + (9 * 9x + 2x * 9x)) = 0
(-90 + -20x + (81x + 18x2)) = 0

Combine like terms: -20x + 81x = 61x
(-90 + 61x + 18x2) = 0

Solving
-90 + 61x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(10 + -9x) = 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 '(10 + -9x)' equal to zero and attempt to solve:

Simplifying
10 + -9x = 0

Solving
10 + -9x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -9x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -9x = 0 + -10
-9x = 0 + -10

Combine like terms: 0 + -10 = -10
-9x = -10

Divide each side by '-9'.
x = 1.111111111

Simplifying
x = 1.111111111
Solution
x = {-4.5, 1.111111111}

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