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

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


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

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

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

Multiply (9 + -2x) * (-2 + 3x)
(9(-2 + 3x) + -2x * (-2 + 3x)) = 0
((-2 * 9 + 3x * 9) + -2x * (-2 + 3x)) = 0
((-18 + 27x) + -2x * (-2 + 3x)) = 0
(-18 + 27x + (-2 * -2x + 3x * -2x)) = 0
(-18 + 27x + (4x + -6x2)) = 0

Combine like terms: 27x + 4x = 31x
(-18 + 31x + -6x2) = 0

Solving
-18 + 31x + -6x2 = 0

Solving for variable 'x'.

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {4.5, 0.6666666667}

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