4X+16+10+6X+X^2+2X=90

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Solution for 4X+16+10+6X+X^2+2X=90 equation: 


Simplifying
4X + 16 + 10 + 6X + X2 + 2X = 90

Reorder the terms:
16 + 10 + 4X + 6X + 2X + X2 = 90

Combine like terms: 16 + 10 = 26
26 + 4X + 6X + 2X + X2 = 90

Combine like terms: 4X + 6X = 10X
26 + 10X + 2X + X2 = 90

Combine like terms: 10X + 2X = 12X
26 + 12X + X2 = 90

Solving
26 + 12X + X2 = 90

Solving for variable 'X'.

Reorder the terms:
26 + -90 + 12X + X2 = 90 + -90

Combine like terms: 26 + -90 = -64
-64 + 12X + X2 = 90 + -90

Combine like terms: 90 + -90 = 0
-64 + 12X + X2 = 0

Factor a trinomial.
(-16 + -1X)(4 + -1X) = 0


Subproblem 1
Set the factor '(-16 + -1X)' equal to zero and attempt to solve:

Simplifying
-16 + -1X = 0

Solving
-16 + -1X = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1X = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1X = 0 + 16
-1X = 0 + 16

Combine like terms: 0 + 16 = 16
-1X = 16

Divide each side by '-1'.
X = -16

Simplifying
X = -16

Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 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 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Solution
X = {-16, 4}

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