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

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


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

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

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

Multiply (8 + 3x) * (-3 + x)
(8(-3 + x) + 3x * (-3 + x)) = 0
((-3 * 8 + x * 8) + 3x * (-3 + x)) = 0
((-24 + 8x) + 3x * (-3 + x)) = 0
(-24 + 8x + (-3 * 3x + x * 3x)) = 0
(-24 + 8x + (-9x + 3x2)) = 0

Combine like terms: 8x + -9x = -1x
(-24 + -1x + 3x2) = 0

Solving
-24 + -1x + 3x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-2.666666667, 3}

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