(16-x)(12-x)=396

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Solution for (16-x)(12-x)=396 equation:


Simplifying
(16 + -1x)(12 + -1x) = 396

Multiply (16 + -1x) * (12 + -1x)
(16(12 + -1x) + -1x * (12 + -1x)) = 396
((12 * 16 + -1x * 16) + -1x * (12 + -1x)) = 396
((192 + -16x) + -1x * (12 + -1x)) = 396
(192 + -16x + (12 * -1x + -1x * -1x)) = 396
(192 + -16x + (-12x + 1x2)) = 396

Combine like terms: -16x + -12x = -28x
(192 + -28x + 1x2) = 396

Solving
192 + -28x + 1x2 = 396

Solving for variable 'x'.

Reorder the terms:
192 + -396 + -28x + 1x2 = 396 + -396

Combine like terms: 192 + -396 = -204
-204 + -28x + 1x2 = 396 + -396

Combine like terms: 396 + -396 = 0
-204 + -28x + 1x2 = 0

Factor a trinomial.
(-6 + -1x)(34 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(34 + -1x)' equal to zero and attempt to solve: Simplifying 34 + -1x = 0 Solving 34 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 0 + -34 -1x = 0 + -34 Combine like terms: 0 + -34 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34

Solution

x = {-6, 34}

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