(3x-9)(x-8)=

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Solution for (3x-9)(x-8)= equation:


Simplifying
(3x + -9)(x + -8) = 0

Reorder the terms:
(-9 + 3x)(x + -8) = 0

Reorder the terms:
(-9 + 3x)(-8 + x) = 0

Multiply (-9 + 3x) * (-8 + x)
(-9(-8 + x) + 3x * (-8 + x)) = 0
((-8 * -9 + x * -9) + 3x * (-8 + x)) = 0
((72 + -9x) + 3x * (-8 + x)) = 0
(72 + -9x + (-8 * 3x + x * 3x)) = 0
(72 + -9x + (-24x + 3x2)) = 0

Combine like terms: -9x + -24x = -33x
(72 + -33x + 3x2) = 0

Solving
72 + -33x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(24 + -11x + x2) = 0

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

Ignore the factor 3.

Subproblem 1

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

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 = {3, 8}

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