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

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


Simplifying
(3x + 3)(x + -8) = 0

Reorder the terms:
(3 + 3x)(x + -8) = 0

Reorder the terms:
(3 + 3x)(-8 + x) = 0

Multiply (3 + 3x) * (-8 + x)
(3(-8 + x) + 3x * (-8 + x)) = 0
((-8 * 3 + x * 3) + 3x * (-8 + x)) = 0
((-24 + 3x) + 3x * (-8 + x)) = 0
(-24 + 3x + (-8 * 3x + x * 3x)) = 0
(-24 + 3x + (-24x + 3x2)) = 0

Combine like terms: 3x + -24x = -21x
(-24 + -21x + 3x2) = 0

Solving
-24 + -21x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -7x + x2) = 0

Factor a trinomial.
3((-1 + -1x)(8 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Solution

x = {-1, 8}

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