(3x+6)(4x+10)=

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Solution for (3x+6)(4x+10)= equation:


Simplifying
(3x + 6)(4x + 10) = 0

Reorder the terms:
(6 + 3x)(4x + 10) = 0

Reorder the terms:
(6 + 3x)(10 + 4x) = 0

Multiply (6 + 3x) * (10 + 4x)
(6(10 + 4x) + 3x * (10 + 4x)) = 0
((10 * 6 + 4x * 6) + 3x * (10 + 4x)) = 0
((60 + 24x) + 3x * (10 + 4x)) = 0
(60 + 24x + (10 * 3x + 4x * 3x)) = 0
(60 + 24x + (30x + 12x2)) = 0

Combine like terms: 24x + 30x = 54x
(60 + 54x + 12x2) = 0

Solving
60 + 54x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(10 + 9x + 2x2) = 0

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

Ignore the factor 6.

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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-2.5, -2}

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