(2x+30)(3x+15)=

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Solution for (2x+30)(3x+15)= equation:


Simplifying
(2x + 30)(3x + 15) = 0

Reorder the terms:
(30 + 2x)(3x + 15) = 0

Reorder the terms:
(30 + 2x)(15 + 3x) = 0

Multiply (30 + 2x) * (15 + 3x)
(30(15 + 3x) + 2x * (15 + 3x)) = 0
((15 * 30 + 3x * 30) + 2x * (15 + 3x)) = 0
((450 + 90x) + 2x * (15 + 3x)) = 0
(450 + 90x + (15 * 2x + 3x * 2x)) = 0
(450 + 90x + (30x + 6x2)) = 0

Combine like terms: 90x + 30x = 120x
(450 + 120x + 6x2) = 0

Solving
450 + 120x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(75 + 20x + x2) = 0

Factor a trinomial.
6((15 + x)(5 + x)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 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 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {-15, -5}

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