(x+8)(x-3)=-30

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Solution for (x+8)(x-3)=-30 equation:


Simplifying
(x + 8)(x + -3) = -30

Reorder the terms:
(8 + x)(x + -3) = -30

Reorder the terms:
(8 + x)(-3 + x) = -30

Multiply (8 + x) * (-3 + x)
(8(-3 + x) + x(-3 + x)) = -30
((-3 * 8 + x * 8) + x(-3 + x)) = -30
((-24 + 8x) + x(-3 + x)) = -30
(-24 + 8x + (-3 * x + x * x)) = -30
(-24 + 8x + (-3x + x2)) = -30

Combine like terms: 8x + -3x = 5x
(-24 + 5x + x2) = -30

Solving
-24 + 5x + x2 = -30

Solving for variable 'x'.

Reorder the terms:
-24 + 30 + 5x + x2 = -30 + 30

Combine like terms: -24 + 30 = 6
6 + 5x + x2 = -30 + 30

Combine like terms: -30 + 30 = 0
6 + 5x + x2 = 0

Factor a trinomial.
(3 + x)(2 + x) = 0

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Solution

x = {-3, -2}

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