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

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


Simplifying
0 = (8x + 11)(-3x + 6)

Reorder the terms:
0 = (11 + 8x)(-3x + 6)

Reorder the terms:
0 = (11 + 8x)(6 + -3x)

Multiply (11 + 8x) * (6 + -3x)
0 = (11(6 + -3x) + 8x * (6 + -3x))
0 = ((6 * 11 + -3x * 11) + 8x * (6 + -3x))
0 = ((66 + -33x) + 8x * (6 + -3x))
0 = (66 + -33x + (6 * 8x + -3x * 8x))
0 = (66 + -33x + (48x + -24x2))

Combine like terms: -33x + 48x = 15x
0 = (66 + 15x + -24x2)

Solving
0 = 66 + 15x + -24x2

Solving for variable 'x'.

Combine like terms: 0 + -66 = -66
-66 + -15x + 24x2 = 66 + 15x + -24x2 + -66 + -15x + 24x2

Reorder the terms:
-66 + -15x + 24x2 = 66 + -66 + 15x + -15x + -24x2 + 24x2

Combine like terms: 66 + -66 = 0
-66 + -15x + 24x2 = 0 + 15x + -15x + -24x2 + 24x2
-66 + -15x + 24x2 = 15x + -15x + -24x2 + 24x2

Combine like terms: 15x + -15x = 0
-66 + -15x + 24x2 = 0 + -24x2 + 24x2
-66 + -15x + 24x2 = -24x2 + 24x2

Combine like terms: -24x2 + 24x2 = 0
-66 + -15x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-22 + -5x + 8x2) = 0

Factor a trinomial.
3((-11 + -8x)(2 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-11 + -8x)' equal to zero and attempt to solve:

Simplifying
-11 + -8x = 0

Solving
-11 + -8x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -8x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -8x = 0 + 11
-8x = 0 + 11

Combine like terms: 0 + 11 = 11
-8x = 11

Divide each side by '-8'.
x = -1.375

Simplifying
x = -1.375

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 = {-1.375, 2}

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