-7X(X-2)+4X+3(2X-6)=8-(5-X)-3

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Solution for -7X(X-2)+4X+3(2X-6)=8-(5-X)-3 equation: 


Simplifying
-7X(X + -2) + 4X + 3(2X + -6) = 8 + -1(5 + -1X) + -3

Reorder the terms:
-7X(-2 + X) + 4X + 3(2X + -6) = 8 + -1(5 + -1X) + -3
(-2 * -7X + X * -7X) + 4X + 3(2X + -6) = 8 + -1(5 + -1X) + -3
(14X + -7X2) + 4X + 3(2X + -6) = 8 + -1(5 + -1X) + -3

Reorder the terms:
14X + -7X2 + 4X + 3(-6 + 2X) = 8 + -1(5 + -1X) + -3
14X + -7X2 + 4X + (-6 * 3 + 2X * 3) = 8 + -1(5 + -1X) + -3
14X + -7X2 + 4X + (-18 + 6X) = 8 + -1(5 + -1X) + -3

Reorder the terms:
-18 + 14X + 4X + 6X + -7X2 = 8 + -1(5 + -1X) + -3

Combine like terms: 14X + 4X = 18X
-18 + 18X + 6X + -7X2 = 8 + -1(5 + -1X) + -3

Combine like terms: 18X + 6X = 24X
-18 + 24X + -7X2 = 8 + -1(5 + -1X) + -3
-18 + 24X + -7X2 = 8 + (5 * -1 + -1X * -1) + -3
-18 + 24X + -7X2 = 8 + (-5 + 1X) + -3

Reorder the terms:
-18 + 24X + -7X2 = 8 + -5 + -3 + 1X

Combine like terms: 8 + -5 = 3
-18 + 24X + -7X2 = 3 + -3 + 1X

Combine like terms: 3 + -3 = 0
-18 + 24X + -7X2 = 0 + 1X
-18 + 24X + -7X2 = 1X

Solving
-18 + 24X + -7X2 = 1X

Solving for variable 'X'.

Reorder the terms:
-18 + 24X + -1X + -7X2 = 1X + -1X

Combine like terms: 24X + -1X = 23X
-18 + 23X + -7X2 = 1X + -1X

Combine like terms: 1X + -1X = 0
-18 + 23X + -7X2 = 0

Factor a trinomial.
(-2 + X)(9 + -7X) = 0


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

Simplifying
-2 + X = 0

Solving
-2 + X = 0

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

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

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

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

Simplifying
X = 2

Subproblem 2
Set the factor '(9 + -7X)' equal to zero and attempt to solve:

Simplifying
9 + -7X = 0

Solving
9 + -7X = 0

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

Add '-9' to each side of the equation.
9 + -9 + -7X = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -7X = 0 + -9
-7X = 0 + -9

Combine like terms: 0 + -9 = -9
-7X = -9

Divide each side by '-7'.
X = 1.285714286

Simplifying
X = 1.285714286
Solution
X = {2, 1.285714286}

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