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

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


Simplifying
(8 + x)(6x + -3) = 0

Reorder the terms:
(8 + x)(-3 + 6x) = 0

Multiply (8 + x) * (-3 + 6x)
(8(-3 + 6x) + x(-3 + 6x)) = 0
((-3 * 8 + 6x * 8) + x(-3 + 6x)) = 0
((-24 + 48x) + x(-3 + 6x)) = 0
(-24 + 48x + (-3 * x + 6x * x)) = 0
(-24 + 48x + (-3x + 6x2)) = 0

Combine like terms: 48x + -3x = 45x
(-24 + 45x + 6x2) = 0

Solving
-24 + 45x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 15x + 2x2) = 0

Factor a trinomial.
3((-8 + -1x)(1 + -2x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {-8, 0.5}

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