-2(3x+8)=-7x(x-6)-16

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Solution for -2(3x+8)=-7x(x-6)-16 equation:


Simplifying
-2(3x + 8) = -7x(x + -6) + -16

Reorder the terms:
-2(8 + 3x) = -7x(x + -6) + -16
(8 * -2 + 3x * -2) = -7x(x + -6) + -16
(-16 + -6x) = -7x(x + -6) + -16

Reorder the terms:
-16 + -6x = -7x(-6 + x) + -16
-16 + -6x = (-6 * -7x + x * -7x) + -16
-16 + -6x = (42x + -7x2) + -16

Reorder the terms:
-16 + -6x = -16 + 42x + -7x2

Add '16' to each side of the equation.
-16 + 16 + -6x = -16 + 42x + 16 + -7x2

Combine like terms: -16 + 16 = 0
0 + -6x = -16 + 42x + 16 + -7x2
-6x = -16 + 42x + 16 + -7x2

Reorder the terms:
-6x = -16 + 16 + 42x + -7x2

Combine like terms: -16 + 16 = 0
-6x = 0 + 42x + -7x2
-6x = 42x + -7x2

Solving
-6x = 42x + -7x2

Solving for variable 'x'.

Combine like terms: -6x + -42x = -48x
-48x + 7x2 = 42x + -7x2 + -42x + 7x2

Reorder the terms:
-48x + 7x2 = 42x + -42x + -7x2 + 7x2

Combine like terms: 42x + -42x = 0
-48x + 7x2 = 0 + -7x2 + 7x2
-48x + 7x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
-48x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-48 + 7x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-48 + 7x)' equal to zero and attempt to solve:

Simplifying
-48 + 7x = 0

Solving
-48 + 7x = 0

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

Add '48' to each side of the equation.
-48 + 48 + 7x = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 7x = 0 + 48
7x = 0 + 48

Combine like terms: 0 + 48 = 48
7x = 48

Divide each side by '7'.
x = 6.857142857

Simplifying
x = 6.857142857
Solution
x = {0, 6.857142857}

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