(6x+7)(x-1)=-5

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Solution for (6x+7)(x-1)=-5 equation: 


Simplifying
(6x + 7)(x + -1) = -5

Reorder the terms:
(7 + 6x)(x + -1) = -5

Reorder the terms:
(7 + 6x)(-1 + x) = -5

Multiply (7 + 6x) * (-1 + x)
(7(-1 + x) + 6x * (-1 + x)) = -5
((-1 * 7 + x * 7) + 6x * (-1 + x)) = -5
((-7 + 7x) + 6x * (-1 + x)) = -5
(-7 + 7x + (-1 * 6x + x * 6x)) = -5
(-7 + 7x + (-6x + 6x2)) = -5

Combine like terms: 7x + -6x = 1x
(-7 + 1x + 6x2) = -5

Solving
-7 + 1x + 6x2 = -5

Solving for variable 'x'.

Reorder the terms:
-7 + 5 + 1x + 6x2 = -5 + 5

Combine like terms: -7 + 5 = -2
-2 + 1x + 6x2 = -5 + 5

Combine like terms: -5 + 5 = 0
-2 + 1x + 6x2 = 0

Factor a trinomial.
(-2 + -3x)(1 + -2x) = 0


Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

Subproblem 2
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
Solution
x = {-0.6666666667, 0.5}

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