(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 = -12
-12 + 1x + 6x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-12 + 1x + 6x2 = 0

Factor a trinomial.
(-3 + -2x)(4 + -3x) = 0


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

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2x = 0 + 3

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-1.5, 1.333333333}

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