(-3x-8)(9x-1)=

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Solution for (-3x-8)(9x-1)= equation:


Simplifying
(-3x + -8)(9x + -1) = 0

Reorder the terms:
(-8 + -3x)(9x + -1) = 0

Reorder the terms:
(-8 + -3x)(-1 + 9x) = 0

Multiply (-8 + -3x) * (-1 + 9x)
(-8(-1 + 9x) + -3x * (-1 + 9x)) = 0
((-1 * -8 + 9x * -8) + -3x * (-1 + 9x)) = 0
((8 + -72x) + -3x * (-1 + 9x)) = 0
(8 + -72x + (-1 * -3x + 9x * -3x)) = 0
(8 + -72x + (3x + -27x2)) = 0

Combine like terms: -72x + 3x = -69x
(8 + -69x + -27x2) = 0

Solving
8 + -69x + -27x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -9x)(8 + 3x) = 0

Subproblem 1

Set the factor '(1 + -9x)' equal to zero and attempt to solve: Simplifying 1 + -9x = 0 Solving 1 + -9x = 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 + -9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9x = 0 + -1 -9x = 0 + -1 Combine like terms: 0 + -1 = -1 -9x = -1 Divide each side by '-9'. x = 0.1111111111 Simplifying x = 0.1111111111

Subproblem 2

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

Solution

x = {0.1111111111, -2.666666667}

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