26-26x=-3x^2-3x-4

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Solution for 26-26x=-3x^2-3x-4 equation: 


Simplifying
26 + -26x = -3x2 + -3x + -4

Reorder the terms:
26 + -26x = -4 + -3x + -3x2

Solving
26 + -26x = -4 + -3x + -3x2

Solving for variable 'x'.

Reorder the terms:
26 + 4 + -26x + 3x + 3x2 = -4 + -3x + -3x2 + 4 + 3x + 3x2

Combine like terms: 26 + 4 = 30
30 + -26x + 3x + 3x2 = -4 + -3x + -3x2 + 4 + 3x + 3x2

Combine like terms: -26x + 3x = -23x
30 + -23x + 3x2 = -4 + -3x + -3x2 + 4 + 3x + 3x2

Reorder the terms:
30 + -23x + 3x2 = -4 + 4 + -3x + 3x + -3x2 + 3x2

Combine like terms: -4 + 4 = 0
30 + -23x + 3x2 = 0 + -3x + 3x + -3x2 + 3x2
30 + -23x + 3x2 = -3x + 3x + -3x2 + 3x2

Combine like terms: -3x + 3x = 0
30 + -23x + 3x2 = 0 + -3x2 + 3x2
30 + -23x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
30 + -23x + 3x2 = 0

Factor a trinomial.
(5 + -3x)(6 + -1x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {1.666666667, 6}

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