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

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


Simplifying
3X + 4X(8 + -10X) = 0
3X + (8 * 4X + -10X * 4X) = 0
3X + (32X + -40X2) = 0

Combine like terms: 3X + 32X = 35X
35X + -40X2 = 0

Solving
35X + -40X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '5X'.
5X(7 + -8X) = 0

Ignore the factor 5.

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 + -8X)' equal to zero and attempt to solve:

Simplifying
7 + -8X = 0

Solving
7 + -8X = 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 + -8X = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8X = 0 + -7
-8X = 0 + -7

Combine like terms: 0 + -7 = -7
-8X = -7

Divide each side by '-8'.
X = 0.875

Simplifying
X = 0.875
Solution
X = {0, 0.875}

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