4x^2+41x+98=2-3x

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Solution for 4x^2+41x+98=2-3x equation: 


Simplifying
4x2 + 41x + 98 = 2 + -3x

Reorder the terms:
98 + 41x + 4x2 = 2 + -3x

Solving
98 + 41x + 4x2 = 2 + -3x

Solving for variable 'x'.

Reorder the terms:
98 + -2 + 41x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: 98 + -2 = 96
96 + 41x + 3x + 4x2 = 2 + -3x + -2 + 3x

Combine like terms: 41x + 3x = 44x
96 + 44x + 4x2 = 2 + -3x + -2 + 3x

Reorder the terms:
96 + 44x + 4x2 = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
96 + 44x + 4x2 = 0 + -3x + 3x
96 + 44x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
96 + 44x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + 11x + x2) = 0

Factor a trinomial.
4((8 + x)(3 + x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-8, -3}

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