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

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


Simplifying
x(x + 3) + 2 = 3x + -5

Reorder the terms:
x(3 + x) + 2 = 3x + -5
(3 * x + x * x) + 2 = 3x + -5
(3x + x2) + 2 = 3x + -5

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

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

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

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

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

Solving
2 + x2 = -5

Solving for variable 'x'.

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

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

Combine like terms: 2 + -2 = 0
0 + x2 = -5 + -2
x2 = -5 + -2

Combine like terms: -5 + -2 = -7
x2 = -7

Simplifying
x2 = -7

Reorder the terms:
7 + x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + x2 = 0

The solution to this equation could not be determined.

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