(3x^2+5x)-(x^2+4x)=

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Solution for (3x^2+5x)-(x^2+4x)= equation: 


Simplifying
(3x2 + 5x) + -1(x2 + 4x) = 0

Reorder the terms:
(5x + 3x2) + -1(x2 + 4x) = 0

Remove parenthesis around (5x + 3x2)
5x + 3x2 + -1(x2 + 4x) = 0

Reorder the terms:
5x + 3x2 + -1(4x + x2) = 0
5x + 3x2 + (4x * -1 + x2 * -1) = 0
5x + 3x2 + (-4x + -1x2) = 0

Reorder the terms:
5x + -4x + 3x2 + -1x2 = 0

Combine like terms: 5x + -4x = 1x
1x + 3x2 + -1x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
1x + 2x2 = 0

Solving
1x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

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

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

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

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {0, -0.5}

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