(15x-24)(45x+54)=

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Solution for (15x-24)(45x+54)= equation: 


Simplifying
(15x + -24)(45x + 54) = 0

Reorder the terms:
(-24 + 15x)(45x + 54) = 0

Reorder the terms:
(-24 + 15x)(54 + 45x) = 0

Multiply (-24 + 15x) * (54 + 45x)
(-24(54 + 45x) + 15x * (54 + 45x)) = 0
((54 * -24 + 45x * -24) + 15x * (54 + 45x)) = 0
((-1296 + -1080x) + 15x * (54 + 45x)) = 0
(-1296 + -1080x + (54 * 15x + 45x * 15x)) = 0
(-1296 + -1080x + (810x + 675x2)) = 0

Combine like terms: -1080x + 810x = -270x
(-1296 + -270x + 675x2) = 0

Solving
-1296 + -270x + 675x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '27'.
27(-48 + -10x + 25x2) = 0

Factor a trinomial.
27((-6 + -5x)(8 + -5x)) = 0

Ignore the factor 27.

Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve:

Simplifying
-6 + -5x = 0

Solving
-6 + -5x = 0

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

Add '6' to each side of the equation.
-6 + 6 + -5x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 0 + 6
-5x = 0 + 6

Combine like terms: 0 + 6 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-1.2, 1.6}

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