(2x+9)(5x-3)=

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Solution for (2x+9)(5x-3)= equation: 


Simplifying
(2x + 9)(5x + -3) = 0

Reorder the terms:
(9 + 2x)(5x + -3) = 0

Reorder the terms:
(9 + 2x)(-3 + 5x) = 0

Multiply (9 + 2x) * (-3 + 5x)
(9(-3 + 5x) + 2x * (-3 + 5x)) = 0
((-3 * 9 + 5x * 9) + 2x * (-3 + 5x)) = 0
((-27 + 45x) + 2x * (-3 + 5x)) = 0
(-27 + 45x + (-3 * 2x + 5x * 2x)) = 0
(-27 + 45x + (-6x + 10x2)) = 0

Combine like terms: 45x + -6x = 39x
(-27 + 39x + 10x2) = 0

Solving
-27 + 39x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -2x)(3 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-4.5, 0.6}

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