12x^2-26x-7=3x+1

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Solution for 12x^2-26x-7=3x+1 equation: 


Simplifying
12x2 + -26x + -7 = 3x + 1

Reorder the terms:
-7 + -26x + 12x2 = 3x + 1

Reorder the terms:
-7 + -26x + 12x2 = 1 + 3x

Solving
-7 + -26x + 12x2 = 1 + 3x

Solving for variable 'x'.

Reorder the terms:
-7 + -1 + -26x + -3x + 12x2 = 1 + 3x + -1 + -3x

Combine like terms: -7 + -1 = -8
-8 + -26x + -3x + 12x2 = 1 + 3x + -1 + -3x

Combine like terms: -26x + -3x = -29x
-8 + -29x + 12x2 = 1 + 3x + -1 + -3x

Reorder the terms:
-8 + -29x + 12x2 = 1 + -1 + 3x + -3x

Combine like terms: 1 + -1 = 0
-8 + -29x + 12x2 = 0 + 3x + -3x
-8 + -29x + 12x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + -29x + 12x2 = 0

Factor a trinomial.
(-1 + -4x)(8 + -3x) = 0


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

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

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

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 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 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-0.25, 2.666666667}

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