(3x+8)(4x+10)=

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Solution for (3x+8)(4x+10)= equation: 


Simplifying
(3x + 8)(4x + 10) = 0

Reorder the terms:
(8 + 3x)(4x + 10) = 0

Reorder the terms:
(8 + 3x)(10 + 4x) = 0

Multiply (8 + 3x) * (10 + 4x)
(8(10 + 4x) + 3x * (10 + 4x)) = 0
((10 * 8 + 4x * 8) + 3x * (10 + 4x)) = 0
((80 + 32x) + 3x * (10 + 4x)) = 0
(80 + 32x + (10 * 3x + 4x * 3x)) = 0
(80 + 32x + (30x + 12x2)) = 0

Combine like terms: 32x + 30x = 62x
(80 + 62x + 12x2) = 0

Solving
80 + 62x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + 31x + 6x2) = 0

Factor a trinomial.
2((8 + 3x)(5 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
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
Solution
x = {-2.666666667, -2.5}

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