(x-1)(x+3)=-4

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Solution for (x-1)(x+3)=-4 equation:


Simplifying
(x + -1)(x + 3) = -4

Reorder the terms:
(-1 + x)(x + 3) = -4

Reorder the terms:
(-1 + x)(3 + x) = -4

Multiply (-1 + x) * (3 + x)
(-1(3 + x) + x(3 + x)) = -4
((3 * -1 + x * -1) + x(3 + x)) = -4
((-3 + -1x) + x(3 + x)) = -4
(-3 + -1x + (3 * x + x * x)) = -4
(-3 + -1x + (3x + x2)) = -4

Combine like terms: -1x + 3x = 2x
(-3 + 2x + x2) = -4

Solving
-3 + 2x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
-3 + 4 + 2x + x2 = -4 + 4

Combine like terms: -3 + 4 = 1
1 + 2x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
1 + 2x + x2 = 0

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

Subproblem 1

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

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 = {-1, -1}

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