x(x+14)-18(x+14)=0

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Solution for x(x+14)-18(x+14)=0 equation:


Simplifying
x(x + 14) + -18(x + 14) = 0

Reorder the terms:
x(14 + x) + -18(x + 14) = 0
(14 * x + x * x) + -18(x + 14) = 0
(14x + x2) + -18(x + 14) = 0

Reorder the terms:
14x + x2 + -18(14 + x) = 0
14x + x2 + (14 * -18 + x * -18) = 0
14x + x2 + (-252 + -18x) = 0

Reorder the terms:
-252 + 14x + -18x + x2 = 0

Combine like terms: 14x + -18x = -4x
-252 + -4x + x2 = 0

Solving
-252 + -4x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -1x)(18 + -1x) = 0

Subproblem 1

Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14

Subproblem 2

Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18

Solution

x = {-14, 18}

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