x(x+1)=(x-3)x+6

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Solution for x(x+1)=(x-3)x+6 equation:


Simplifying
x(x + 1) = (x + -3) * x + 6

Reorder the terms:
x(1 + x) = (x + -3) * x + 6
(1 * x + x * x) = (x + -3) * x + 6
(1x + x2) = (x + -3) * x + 6

Reorder the terms:
1x + x2 = (-3 + x) * x + 6

Reorder the terms for easier multiplication:
1x + x2 = x(-3 + x) + 6
1x + x2 = (-3 * x + x * x) + 6
1x + x2 = (-3x + x2) + 6

Reorder the terms:
1x + x2 = 6 + -3x + x2

Add '-1x2' to each side of the equation.
1x + x2 + -1x2 = 6 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1x + 0 = 6 + -3x + x2 + -1x2
1x = 6 + -3x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1x = 6 + -3x + 0
1x = 6 + -3x

Solving
1x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1x + 3x = 6 + -3x + 3x

Combine like terms: 1x + 3x = 4x
4x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
4x = 6 + 0
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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