-3x(8x+11)=6(-4x-13)

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Solution for -3x(8x+11)=6(-4x-13) equation: 


Simplifying
-3x(8x + 11) = 6(-4x + -13)

Reorder the terms:
-3x(11 + 8x) = 6(-4x + -13)
(11 * -3x + 8x * -3x) = 6(-4x + -13)
(-33x + -24x2) = 6(-4x + -13)

Reorder the terms:
-33x + -24x2 = 6(-13 + -4x)
-33x + -24x2 = (-13 * 6 + -4x * 6)
-33x + -24x2 = (-78 + -24x)

Solving
-33x + -24x2 = -78 + -24x

Solving for variable 'x'.

Reorder the terms:
78 + -33x + 24x + -24x2 = -78 + -24x + 78 + 24x

Combine like terms: -33x + 24x = -9x
78 + -9x + -24x2 = -78 + -24x + 78 + 24x

Reorder the terms:
78 + -9x + -24x2 = -78 + 78 + -24x + 24x

Combine like terms: -78 + 78 = 0
78 + -9x + -24x2 = 0 + -24x + 24x
78 + -9x + -24x2 = -24x + 24x

Combine like terms: -24x + 24x = 0
78 + -9x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(26 + -3x + -8x2) = 0

Factor a trinomial.
3((13 + -8x)(2 + x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(13 + -8x)' equal to zero and attempt to solve:

Simplifying
13 + -8x = 0

Solving
13 + -8x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -8x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -8x = 0 + -13
-8x = 0 + -13

Combine like terms: 0 + -13 = -13
-8x = -13

Divide each side by '-8'.
x = 1.625

Simplifying
x = 1.625

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {1.625, -2}

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