(3x-1)(x-9)=0

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Solution for (3x-1)(x-9)=0 equation:


Simplifying
(3x + -1)(x + -9) = 0

Reorder the terms:
(-1 + 3x)(x + -9) = 0

Reorder the terms:
(-1 + 3x)(-9 + x) = 0

Multiply (-1 + 3x) * (-9 + x)
(-1(-9 + x) + 3x * (-9 + x)) = 0
((-9 * -1 + x * -1) + 3x * (-9 + x)) = 0
((9 + -1x) + 3x * (-9 + x)) = 0
(9 + -1x + (-9 * 3x + x * 3x)) = 0
(9 + -1x + (-27x + 3x2)) = 0

Combine like terms: -1x + -27x = -28x
(9 + -28x + 3x2) = 0

Solving
9 + -28x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -3x)(9 + -1x) = 0

Subproblem 1

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {0.3333333333, 9}

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