(18x-45)(28-14x)=

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Solution for (18x-45)(28-14x)= equation: 


Simplifying
(18x + -45)(28 + -14x) = 0

Reorder the terms:
(-45 + 18x)(28 + -14x) = 0

Multiply (-45 + 18x) * (28 + -14x)
(-45(28 + -14x) + 18x * (28 + -14x)) = 0
((28 * -45 + -14x * -45) + 18x * (28 + -14x)) = 0
((-1260 + 630x) + 18x * (28 + -14x)) = 0
(-1260 + 630x + (28 * 18x + -14x * 18x)) = 0
(-1260 + 630x + (504x + -252x2)) = 0

Combine like terms: 630x + 504x = 1134x
(-1260 + 1134x + -252x2) = 0

Solving
-1260 + 1134x + -252x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '126'.
126(-10 + 9x + -2x2) = 0

Factor a trinomial.
126((-5 + 2x)(2 + -1x)) = 0

Ignore the factor 126.

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 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {2.5, 2}

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