(14-x)*(-4-x)-144=0

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Solution for (14-x)*(-4-x)-144=0 equation:


Simplifying
(14 + -1x)(-4 + -1x) + -144 = 0

Multiply (14 + -1x) * (-4 + -1x)
(14(-4 + -1x) + -1x * (-4 + -1x)) + -144 = 0
((-4 * 14 + -1x * 14) + -1x * (-4 + -1x)) + -144 = 0
((-56 + -14x) + -1x * (-4 + -1x)) + -144 = 0
(-56 + -14x + (-4 * -1x + -1x * -1x)) + -144 = 0
(-56 + -14x + (4x + 1x2)) + -144 = 0

Combine like terms: -14x + 4x = -10x
(-56 + -10x + 1x2) + -144 = 0

Reorder the terms:
-56 + -144 + -10x + 1x2 = 0

Combine like terms: -56 + -144 = -200
-200 + -10x + 1x2 = 0

Solving
-200 + -10x + 1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-10 + -1x)(20 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10

Subproblem 2

Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20

Solution

x = {-10, 20}

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