(x+7)(x)=228

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Solution for (x+7)(x)=228 equation:


Simplifying
(x + 7)(x) = 228

Reorder the terms:
(7 + x)(x) = 228

Reorder the terms for easier multiplication:
x(7 + x) = 228
(7 * x + x * x) = 228
(7x + x2) = 228

Solving
7x + x2 = 228

Solving for variable 'x'.

Reorder the terms:
-228 + 7x + x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-228 + 7x + x2 = 0

Factor a trinomial.
(-19 + -1x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19

Subproblem 2

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

Solution

x = {-19, 12}

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