(6x+8)(4x+10)=0

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Solution for (6x+8)(4x+10)=0 equation:


Simplifying
(6x + 8)(4x + 10) = 0

Reorder the terms:
(8 + 6x)(4x + 10) = 0

Reorder the terms:
(8 + 6x)(10 + 4x) = 0

Multiply (8 + 6x) * (10 + 4x)
(8(10 + 4x) + 6x * (10 + 4x)) = 0
((10 * 8 + 4x * 8) + 6x * (10 + 4x)) = 0
((80 + 32x) + 6x * (10 + 4x)) = 0
(80 + 32x + (10 * 6x + 4x * 6x)) = 0
(80 + 32x + (60x + 24x2)) = 0

Combine like terms: 32x + 60x = 92x
(80 + 92x + 24x2) = 0

Solving
80 + 92x + 24x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + 23x + 6x2) = 0

Factor a trinomial.
4((5 + 2x)(4 + 3x)) = 0

Ignore the factor 4.

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {-2.5, -1.333333333}

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