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

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


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

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

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

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

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

Solving
-24 + 5x + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-24 + 5x + -3x + x2 = 3x + -3x

Combine like terms: 5x + -3x = 2x
-24 + 2x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + 2x + x2 = 0

Factor a trinomial.
(-6 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-6, 4}

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