(x-3)(x+4)=228

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Solution for (x-3)(x+4)=228 equation: 


Simplifying
(x + -3)(x + 4) = 228

Reorder the terms:
(-3 + x)(x + 4) = 228

Reorder the terms:
(-3 + x)(4 + x) = 228

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) = 228
((4 * -3 + x * -3) + x(4 + x)) = 228
((-12 + -3x) + x(4 + x)) = 228
(-12 + -3x + (4 * x + x * x)) = 228
(-12 + -3x + (4x + x2)) = 228

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) = 228

Solving
-12 + 1x + x2 = 228

Solving for variable 'x'.

Reorder the terms:
-12 + -228 + 1x + x2 = 228 + -228

Combine like terms: -12 + -228 = -240
-240 + 1x + x2 = 228 + -228

Combine like terms: 228 + -228 = 0
-240 + 1x + x2 = 0

Factor a trinomial.
(-16 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-16, 15}

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