-(x+12)(7-3x)=

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Solution for -(x+12)(7-3x)= equation: 


Simplifying
-1(x + 12)(7 + -3x) = 0

Reorder the terms:
-1(12 + x)(7 + -3x) = 0

Multiply (12 + x) * (7 + -3x)
-1(12(7 + -3x) + x(7 + -3x)) = 0
-1((7 * 12 + -3x * 12) + x(7 + -3x)) = 0
-1((84 + -36x) + x(7 + -3x)) = 0
-1(84 + -36x + (7 * x + -3x * x)) = 0
-1(84 + -36x + (7x + -3x2)) = 0

Combine like terms: -36x + 7x = -29x
-1(84 + -29x + -3x2) = 0
(84 * -1 + -29x * -1 + -3x2 * -1) = 0
(-84 + 29x + 3x2) = 0

Solving
-84 + 29x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-12 + -1x)(7 + -3x) = 0


Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve:

Simplifying
-12 + -1x = 0

Solving
-12 + -1x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-12, 2.333333333}

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