-8x-36+3x=6-4x(x-3)

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Solution for -8x-36+3x=6-4x(x-3) equation: 


Simplifying
-8x + -36 + 3x = 6 + -4x(x + -3)

Reorder the terms:
-36 + -8x + 3x = 6 + -4x(x + -3)

Combine like terms: -8x + 3x = -5x
-36 + -5x = 6 + -4x(x + -3)

Reorder the terms:
-36 + -5x = 6 + -4x(-3 + x)
-36 + -5x = 6 + (-3 * -4x + x * -4x)
-36 + -5x = 6 + (12x + -4x2)

Solving
-36 + -5x = 6 + 12x + -4x2

Solving for variable 'x'.

Reorder the terms:
-36 + -6 + -5x + -12x + 4x2 = 6 + 12x + -4x2 + -6 + -12x + 4x2

Combine like terms: -36 + -6 = -42
-42 + -5x + -12x + 4x2 = 6 + 12x + -4x2 + -6 + -12x + 4x2

Combine like terms: -5x + -12x = -17x
-42 + -17x + 4x2 = 6 + 12x + -4x2 + -6 + -12x + 4x2

Reorder the terms:
-42 + -17x + 4x2 = 6 + -6 + 12x + -12x + -4x2 + 4x2

Combine like terms: 6 + -6 = 0
-42 + -17x + 4x2 = 0 + 12x + -12x + -4x2 + 4x2
-42 + -17x + 4x2 = 12x + -12x + -4x2 + 4x2

Combine like terms: 12x + -12x = 0
-42 + -17x + 4x2 = 0 + -4x2 + 4x2
-42 + -17x + 4x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
-42 + -17x + 4x2 = 0

Factor a trinomial.
(-7 + -4x)(6 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve:

Simplifying
-7 + -4x = 0

Solving
-7 + -4x = 0

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

Add '7' to each side of the equation.
-7 + 7 + -4x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = 0 + 7
-4x = 0 + 7

Combine like terms: 0 + 7 = 7
-4x = 7

Divide each side by '-4'.
x = -1.75

Simplifying
x = -1.75

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 = {-1.75, 6}

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