-3x(x-8)+4(x+12)=17

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Solution for -3x(x-8)+4(x+12)=17 equation: 


Simplifying
-3x(x + -8) + 4(x + 12) = 17

Reorder the terms:
-3x(-8 + x) + 4(x + 12) = 17
(-8 * -3x + x * -3x) + 4(x + 12) = 17
(24x + -3x2) + 4(x + 12) = 17

Reorder the terms:
24x + -3x2 + 4(12 + x) = 17
24x + -3x2 + (12 * 4 + x * 4) = 17
24x + -3x2 + (48 + 4x) = 17

Reorder the terms:
48 + 24x + 4x + -3x2 = 17

Combine like terms: 24x + 4x = 28x
48 + 28x + -3x2 = 17

Solving
48 + 28x + -3x2 = 17

Solving for variable 'x'.

Reorder the terms:
48 + -17 + 28x + -3x2 = 17 + -17

Combine like terms: 48 + -17 = 31
31 + 28x + -3x2 = 17 + -17

Combine like terms: 17 + -17 = 0
31 + 28x + -3x2 = 0

Factor a trinomial.
(31 + -3x)(1 + x) = 0


Subproblem 1
Set the factor '(31 + -3x)' equal to zero and attempt to solve:

Simplifying
31 + -3x = 0

Solving
31 + -3x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -3x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = 0 + -31
-3x = 0 + -31

Combine like terms: 0 + -31 = -31
-3x = -31

Divide each side by '-3'.
x = 10.33333333

Simplifying
x = 10.33333333

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Solution
x = {10.33333333, -1}

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