6x^2-4x-16=(x+1)(x-2)

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Solution for 6x^2-4x-16=(x+1)(x-2) equation: 


Simplifying
6x2 + -4x + -16 = (x + 1)(x + -2)

Reorder the terms:
-16 + -4x + 6x2 = (x + 1)(x + -2)

Reorder the terms:
-16 + -4x + 6x2 = (1 + x)(x + -2)

Reorder the terms:
-16 + -4x + 6x2 = (1 + x)(-2 + x)

Multiply (1 + x) * (-2 + x)
-16 + -4x + 6x2 = (1(-2 + x) + x(-2 + x))
-16 + -4x + 6x2 = ((-2 * 1 + x * 1) + x(-2 + x))
-16 + -4x + 6x2 = ((-2 + 1x) + x(-2 + x))
-16 + -4x + 6x2 = (-2 + 1x + (-2 * x + x * x))
-16 + -4x + 6x2 = (-2 + 1x + (-2x + x2))

Combine like terms: 1x + -2x = -1x
-16 + -4x + 6x2 = (-2 + -1x + x2)

Solving
-16 + -4x + 6x2 = -2 + -1x + x2

Solving for variable 'x'.

Reorder the terms:
-16 + 2 + -4x + x + 6x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: -16 + 2 = -14
-14 + -4x + x + 6x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: -4x + x = -3x
-14 + -3x + 6x2 + -1x2 = -2 + -1x + x2 + 2 + x + -1x2

Combine like terms: 6x2 + -1x2 = 5x2
-14 + -3x + 5x2 = -2 + -1x + x2 + 2 + x + -1x2

Reorder the terms:
-14 + -3x + 5x2 = -2 + 2 + -1x + x + x2 + -1x2

Combine like terms: -2 + 2 = 0
-14 + -3x + 5x2 = 0 + -1x + x + x2 + -1x2
-14 + -3x + 5x2 = -1x + x + x2 + -1x2

Combine like terms: -1x + x = 0
-14 + -3x + 5x2 = 0 + x2 + -1x2
-14 + -3x + 5x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + -3x + 5x2 = 0

Factor a trinomial.
(-7 + -5x)(2 + -1x) = 0


Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
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
Solution
x = {-1.4, 2}

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