x(x-5)-4(x+6)=3x+4

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Solution for x(x-5)-4(x+6)=3x+4 equation: 


Simplifying
x(x + -5) + -4(x + 6) = 3x + 4

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

Reorder the terms:
-5x + x2 + -4(6 + x) = 3x + 4
-5x + x2 + (6 * -4 + x * -4) = 3x + 4
-5x + x2 + (-24 + -4x) = 3x + 4

Reorder the terms:
-24 + -5x + -4x + x2 = 3x + 4

Combine like terms: -5x + -4x = -9x
-24 + -9x + x2 = 3x + 4

Reorder the terms:
-24 + -9x + x2 = 4 + 3x

Solving
-24 + -9x + x2 = 4 + 3x

Solving for variable 'x'.

Reorder the terms:
-24 + -4 + -9x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: -24 + -4 = -28
-28 + -9x + -3x + x2 = 4 + 3x + -4 + -3x

Combine like terms: -9x + -3x = -12x
-28 + -12x + x2 = 4 + 3x + -4 + -3x

Reorder the terms:
-28 + -12x + x2 = 4 + -4 + 3x + -3x

Combine like terms: 4 + -4 = 0
-28 + -12x + x2 = 0 + 3x + -3x
-28 + -12x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + -12x + x2 = 0

Factor a trinomial.
(-2 + -1x)(14 + -1x) = 0


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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-2, 14}

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