2x^2+10x+48=-4x^2-16x-10x

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Solution for 2x^2+10x+48=-4x^2-16x-10x equation: 


Simplifying
2x2 + 10x + 48 = -4x2 + -16x + -10x

Reorder the terms:
48 + 10x + 2x2 = -4x2 + -16x + -10x

Reorder the terms:
48 + 10x + 2x2 = -16x + -10x + -4x2

Combine like terms: -16x + -10x = -26x
48 + 10x + 2x2 = -26x + -4x2

Solving
48 + 10x + 2x2 = -26x + -4x2

Solving for variable 'x'.

Reorder the terms:
48 + 10x + 26x + 2x2 + 4x2 = -26x + -4x2 + 26x + 4x2

Combine like terms: 10x + 26x = 36x
48 + 36x + 2x2 + 4x2 = -26x + -4x2 + 26x + 4x2

Combine like terms: 2x2 + 4x2 = 6x2
48 + 36x + 6x2 = -26x + -4x2 + 26x + 4x2

Reorder the terms:
48 + 36x + 6x2 = -26x + 26x + -4x2 + 4x2

Combine like terms: -26x + 26x = 0
48 + 36x + 6x2 = 0 + -4x2 + 4x2
48 + 36x + 6x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
48 + 36x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(8 + 6x + x2) = 0

Factor a trinomial.
6((4 + x)(2 + x)) = 0

Ignore the factor 6.

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

Simplifying
4 + x = 0

Solving
4 + x = 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 + x = 0 + -4

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

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

Simplifying
x = -4

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

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

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