3+2x(3-x)=11-(2+2x^2)

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Solution for 3+2x(3-x)=11-(2+2x^2) equation:


Simplifying
3 + 2x(3 + -1x) = 11 + -1(2 + 2x2)
3 + (3 * 2x + -1x * 2x) = 11 + -1(2 + 2x2)
3 + (6x + -2x2) = 11 + -1(2 + 2x2)
3 + 6x + -2x2 = 11 + (2 * -1 + 2x2 * -1)
3 + 6x + -2x2 = 11 + (-2 + -2x2)

Combine like terms: 11 + -2 = 9
3 + 6x + -2x2 = 9 + -2x2

Add '2x2' to each side of the equation.
3 + 6x + -2x2 + 2x2 = 9 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3 + 6x + 0 = 9 + -2x2 + 2x2
3 + 6x = 9 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
3 + 6x = 9 + 0
3 + 6x = 9

Solving
3 + 6x = 9

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 6x = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 6x = 9 + -3
6x = 9 + -3

Combine like terms: 9 + -3 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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