X+(5X-2)(6X-4)=

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Solution for X+(5X-2)(6X-4)= equation: 


Simplifying
X + (5X + -2)(6X + -4) = 0

Reorder the terms:
X + (-2 + 5X)(6X + -4) = 0

Reorder the terms:
X + (-2 + 5X)(-4 + 6X) = 0

Multiply (-2 + 5X) * (-4 + 6X)
X + (-2(-4 + 6X) + 5X * (-4 + 6X)) = 0
X + ((-4 * -2 + 6X * -2) + 5X * (-4 + 6X)) = 0
X + ((8 + -12X) + 5X * (-4 + 6X)) = 0
X + (8 + -12X + (-4 * 5X + 6X * 5X)) = 0
X + (8 + -12X + (-20X + 30X2)) = 0

Combine like terms: -12X + -20X = -32X
X + (8 + -32X + 30X2) = 0

Reorder the terms:
8 + X + -32X + 30X2 = 0

Combine like terms: X + -32X = -31X
8 + -31X + 30X2 = 0

Solving
8 + -31X + 30X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(1 + -2X)(8 + -15X) = 0


Subproblem 1
Set the factor '(1 + -2X)' equal to zero and attempt to solve:

Simplifying
1 + -2X = 0

Solving
1 + -2X = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2X = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2X = 0 + -1
-2X = 0 + -1

Combine like terms: 0 + -1 = -1
-2X = -1

Divide each side by '-2'.
X = 0.5

Simplifying
X = 0.5

Subproblem 2
Set the factor '(8 + -15X)' equal to zero and attempt to solve:

Simplifying
8 + -15X = 0

Solving
8 + -15X = 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 + -15X = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -15X = 0 + -8
-15X = 0 + -8

Combine like terms: 0 + -8 = -8
-15X = -8

Divide each side by '-15'.
X = 0.5333333333

Simplifying
X = 0.5333333333
Solution
X = {0.5, 0.5333333333}

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