x(x+3)-2(x+1)=

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Solution for x(x+3)-2(x+1)= equation:


Simplifying
x(x + 3) + -2(x + 1) = 0

Reorder the terms:
x(3 + x) + -2(x + 1) = 0
(3 * x + x * x) + -2(x + 1) = 0
(3x + x2) + -2(x + 1) = 0

Reorder the terms:
3x + x2 + -2(1 + x) = 0
3x + x2 + (1 * -2 + x * -2) = 0
3x + x2 + (-2 + -2x) = 0

Reorder the terms:
-2 + 3x + -2x + x2 = 0

Combine like terms: 3x + -2x = 1x
-2 + 1x + x2 = 0

Solving
-2 + 1x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(1 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-2, 1}

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