(x-10)(x+4)=-48

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Solution for (x-10)(x+4)=-48 equation: 


Simplifying
(x + -10)(x + 4) = -48

Reorder the terms:
(-10 + x)(x + 4) = -48

Reorder the terms:
(-10 + x)(4 + x) = -48

Multiply (-10 + x) * (4 + x)
(-10(4 + x) + x(4 + x)) = -48
((4 * -10 + x * -10) + x(4 + x)) = -48
((-40 + -10x) + x(4 + x)) = -48
(-40 + -10x + (4 * x + x * x)) = -48
(-40 + -10x + (4x + x2)) = -48

Combine like terms: -10x + 4x = -6x
(-40 + -6x + x2) = -48

Solving
-40 + -6x + x2 = -48

Solving for variable 'x'.

Reorder the terms:
-40 + 48 + -6x + x2 = -48 + 48

Combine like terms: -40 + 48 = 8
8 + -6x + x2 = -48 + 48

Combine like terms: -48 + 48 = 0
8 + -6x + x2 = 0

Factor a trinomial.
(2 + -1x)(4 + -1x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {2, 4}

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