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

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


Simplifying
8X(4 + 3X) + 10X = 0
(4 * 8X + 3X * 8X) + 10X = 0
(32X + 24X2) + 10X = 0

Reorder the terms:
32X + 10X + 24X2 = 0

Combine like terms: 32X + 10X = 42X
42X + 24X2 = 0

Solving
42X + 24X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '6X'.
6X(7 + 4X) = 0

Ignore the factor 6.

Subproblem 1
Set the factor 'X' equal to zero and attempt to solve:

Simplifying
X = 0

Solving
X = 0

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

Simplifying
X = 0

Subproblem 2
Set the factor '(7 + 4X)' equal to zero and attempt to solve:

Simplifying
7 + 4X = 0

Solving
7 + 4X = 0

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

Add '-7' to each side of the equation.
7 + -7 + 4X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4X = 0 + -7
4X = 0 + -7

Combine like terms: 0 + -7 = -7
4X = -7

Divide each side by '4'.
X = -1.75

Simplifying
X = -1.75
Solution
X = {0, -1.75}

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