x^2+3x+2x-6=5x-10

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Solution for x^2+3x+2x-6=5x-10 equation:


Simplifying
x2 + 3x + 2x + -6 = 5x + -10

Reorder the terms:
-6 + 3x + 2x + x2 = 5x + -10

Combine like terms: 3x + 2x = 5x
-6 + 5x + x2 = 5x + -10

Reorder the terms:
-6 + 5x + x2 = -10 + 5x

Add '-5x' to each side of the equation.
-6 + 5x + -5x + x2 = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 0 + x2 = -10 + 5x + -5x
-6 + x2 = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + x2 = -10 + 0
-6 + x2 = -10

Solving
-6 + x2 = -10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + x2 = -10 + 6

Combine like terms: -6 + 6 = 0
0 + x2 = -10 + 6
x2 = -10 + 6

Combine like terms: -10 + 6 = -4
x2 = -4

Simplifying
x2 = -4

Reorder the terms:
4 + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + x2 = 0

The solution to this equation could not be determined.

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