Solve(x+2)(x^2+3x-40)=0

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Solution for Solve(x+2)(x^2+3x-40)=0 equation: 


Simplifying
Solve(x + 2)(x2 + 3x + -40) = 0

Reorder the terms:
elovS(2 + x)(x2 + 3x + -40) = 0

Reorder the terms:
elovS(2 + x)(-40 + 3x + x2) = 0

Multiply (2 + x) * (-40 + 3x + x2)
elovS(2(-40 + 3x + x2) + x(-40 + 3x + x2)) = 0
elovS((-40 * 2 + 3x * 2 + x2 * 2) + x(-40 + 3x + x2)) = 0
elovS((-80 + 6x + 2x2) + x(-40 + 3x + x2)) = 0
elovS(-80 + 6x + 2x2 + (-40 * x + 3x * x + x2 * x)) = 0
elovS(-80 + 6x + 2x2 + (-40x + 3x2 + x3)) = 0

Reorder the terms:
elovS(-80 + 6x + -40x + 2x2 + 3x2 + x3) = 0

Combine like terms: 6x + -40x = -34x
elovS(-80 + -34x + 2x2 + 3x2 + x3) = 0

Combine like terms: 2x2 + 3x2 = 5x2
elovS(-80 + -34x + 5x2 + x3) = 0
(-80 * elovS + -34x * elovS + 5x2 * elovS + x3 * elovS) = 0
(-80elovS + -34elovxS + 5elovx2S + elovx3S) = 0

Solving
-80elovS + -34elovxS + 5elovx2S + elovx3S = 0

Solving for variable 'e'.

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

Factor out the Greatest Common Factor (GCF), 'elovS'.
elovS(-80 + -34x + 5x2 + x3) = 0


Subproblem 1
Set the factor 'elovS' equal to zero and attempt to solve:

Simplifying
elovS = 0

Solving
elovS = 0

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

Simplifying
elovS = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-80 + -34x + 5x2 + x3)' equal to zero and attempt to solve:

Simplifying
-80 + -34x + 5x2 + x3 = 0

Solving
-80 + -34x + 5x2 + x3 = 0

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

Add '80' to each side of the equation.
-80 + -34x + 5x2 + 80 + x3 = 0 + 80

Reorder the terms:
-80 + 80 + -34x + 5x2 + x3 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -34x + 5x2 + x3 = 0 + 80
-34x + 5x2 + x3 = 0 + 80

Combine like terms: 0 + 80 = 80
-34x + 5x2 + x3 = 80

Add '34x' to each side of the equation.
-34x + 5x2 + 34x + x3 = 80 + 34x

Reorder the terms:
-34x + 34x + 5x2 + x3 = 80 + 34x

Combine like terms: -34x + 34x = 0
0 + 5x2 + x3 = 80 + 34x
5x2 + x3 = 80 + 34x

Add '-5x2' to each side of the equation.
5x2 + -5x2 + x3 = 80 + 34x + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 + x3 = 80 + 34x + -5x2
x3 = 80 + 34x + -5x2

Add '-1x3' to each side of the equation.
x3 + -1x3 = 80 + 34x + -5x2 + -1x3

Combine like terms: x3 + -1x3 = 0
0 = 80 + 34x + -5x2 + -1x3

Simplifying
0 = 80 + 34x + -5x2 + -1x3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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