(8x+30)(4x+18)=

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Solution for (8x+30)(4x+18)= equation: 


Simplifying
(8x + 30)(4x + 18) = 0

Reorder the terms:
(30 + 8x)(4x + 18) = 0

Reorder the terms:
(30 + 8x)(18 + 4x) = 0

Multiply (30 + 8x) * (18 + 4x)
(30(18 + 4x) + 8x * (18 + 4x)) = 0
((18 * 30 + 4x * 30) + 8x * (18 + 4x)) = 0
((540 + 120x) + 8x * (18 + 4x)) = 0
(540 + 120x + (18 * 8x + 4x * 8x)) = 0
(540 + 120x + (144x + 32x2)) = 0

Combine like terms: 120x + 144x = 264x
(540 + 264x + 32x2) = 0

Solving
540 + 264x + 32x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(135 + 66x + 8x2) = 0

Factor a trinomial.
4((9 + 2x)(15 + 4x)) = 0

Ignore the factor 4.

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 '(15 + 4x)' equal to zero and attempt to solve:

Simplifying
15 + 4x = 0

Solving
15 + 4x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 4x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 0 + -15
4x = 0 + -15

Combine like terms: 0 + -15 = -15
4x = -15

Divide each side by '4'.
x = -3.75

Simplifying
x = -3.75
Solution
x = {-4.5, -3.75}

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