2x^2+6x+5=3x+5

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Solution for 2x^2+6x+5=3x+5 equation:


Simplifying
2x2 + 6x + 5 = 3x + 5

Reorder the terms:
5 + 6x + 2x2 = 3x + 5

Reorder the terms:
5 + 6x + 2x2 = 5 + 3x

Add '-5' to each side of the equation.
5 + 6x + -5 + 2x2 = 5 + -5 + 3x

Reorder the terms:
5 + -5 + 6x + 2x2 = 5 + -5 + 3x

Combine like terms: 5 + -5 = 0
0 + 6x + 2x2 = 5 + -5 + 3x
6x + 2x2 = 5 + -5 + 3x

Combine like terms: 5 + -5 = 0
6x + 2x2 = 0 + 3x
6x + 2x2 = 3x

Solving
6x + 2x2 = 3x

Solving for variable 'x'.

Reorder the terms:
6x + -3x + 2x2 = 3x + -3x

Combine like terms: 6x + -3x = 3x
3x + 2x2 = 3x + -3x

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + 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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

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

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

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {0, -1.5}

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