(-6x-3)(-10x-18)=0

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Solution for (-6x-3)(-10x-18)=0 equation: 


Simplifying
(-6x + -3)(-10x + -18) = 0

Reorder the terms:
(-3 + -6x)(-10x + -18) = 0

Reorder the terms:
(-3 + -6x)(-18 + -10x) = 0

Multiply (-3 + -6x) * (-18 + -10x)
(-3(-18 + -10x) + -6x * (-18 + -10x)) = 0
((-18 * -3 + -10x * -3) + -6x * (-18 + -10x)) = 0
((54 + 30x) + -6x * (-18 + -10x)) = 0
(54 + 30x + (-18 * -6x + -10x * -6x)) = 0
(54 + 30x + (108x + 60x2)) = 0

Combine like terms: 30x + 108x = 138x
(54 + 138x + 60x2) = 0

Solving
54 + 138x + 60x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(9 + 23x + 10x2) = 0

Factor a trinomial.
6((9 + 5x)(1 + 2x)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(9 + 5x)' equal to zero and attempt to solve:

Simplifying
9 + 5x = 0

Solving
9 + 5x = 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 + 5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5x = 0 + -9
5x = 0 + -9

Combine like terms: 0 + -9 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-1.8, -0.5}

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