(x+1)(2-x)=0

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Solution for (x+1)(2-x)=0 equation:


Simplifying
(x + 1)(2 + -1x) = 0

Reorder the terms:
(1 + x)(2 + -1x) = 0

Multiply (1 + x) * (2 + -1x)
(1(2 + -1x) + x(2 + -1x)) = 0
((2 * 1 + -1x * 1) + x(2 + -1x)) = 0
((2 + -1x) + x(2 + -1x)) = 0
(2 + -1x + (2 * x + -1x * x)) = 0
(2 + -1x + (2x + -1x2)) = 0

Combine like terms: -1x + 2x = 1x
(2 + 1x + -1x2) = 0

Solving
2 + 1x + -1x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(1 + x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {2, -1}

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