(8x+41)(-6x+12)=0

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Solution for (8x+41)(-6x+12)=0 equation:


Simplifying
(8x + 41)(-6x + 12) = 0

Reorder the terms:
(41 + 8x)(-6x + 12) = 0

Reorder the terms:
(41 + 8x)(12 + -6x) = 0

Multiply (41 + 8x) * (12 + -6x)
(41(12 + -6x) + 8x * (12 + -6x)) = 0
((12 * 41 + -6x * 41) + 8x * (12 + -6x)) = 0
((492 + -246x) + 8x * (12 + -6x)) = 0
(492 + -246x + (12 * 8x + -6x * 8x)) = 0
(492 + -246x + (96x + -48x2)) = 0

Combine like terms: -246x + 96x = -150x
(492 + -150x + -48x2) = 0

Solving
492 + -150x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(82 + -25x + -8x2) = 0

Factor a trinomial.
6((2 + -1x)(41 + 8x)) = 0

Ignore the factor 6.

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 '(41 + 8x)' equal to zero and attempt to solve:

Simplifying
41 + 8x = 0

Solving
41 + 8x = 0

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

Add '-41' to each side of the equation.
41 + -41 + 8x = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 8x = 0 + -41
8x = 0 + -41

Combine like terms: 0 + -41 = -41
8x = -41

Divide each side by '8'.
x = -5.125

Simplifying
x = -5.125
Solution
x = {2, -5.125}

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