3x(x)+8x=5x-4x(x)

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Solution for 3x(x)+8x=5x-4x(x) equation: 


Simplifying
3x(x) + 8x = 5x + -4x(x)

Multiply x * x
3x2 + 8x = 5x + -4x(x)

Reorder the terms:
8x + 3x2 = 5x + -4x(x)

Multiply x * x
8x + 3x2 = 5x + -4x2

Solving
8x + 3x2 = 5x + -4x2

Solving for variable 'x'.

Reorder the terms:
8x + -5x + 3x2 + 4x2 = 5x + -4x2 + -5x + 4x2

Combine like terms: 8x + -5x = 3x
3x + 3x2 + 4x2 = 5x + -4x2 + -5x + 4x2

Combine like terms: 3x2 + 4x2 = 7x2
3x + 7x2 = 5x + -4x2 + -5x + 4x2

Reorder the terms:
3x + 7x2 = 5x + -5x + -4x2 + 4x2

Combine like terms: 5x + -5x = 0
3x + 7x2 = 0 + -4x2 + 4x2
3x + 7x2 = -4x2 + 4x2

Combine like terms: -4x2 + 4x2 = 0
3x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 7x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve:

Simplifying
3 + 7x = 0

Solving
3 + 7x = 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 + 7x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 0 + -3
7x = 0 + -3

Combine like terms: 0 + -3 = -3
7x = -3

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286
Solution
x = {0, -0.4285714286}

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