(-x-6)(-9x+2)=

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Solution for (-x-6)(-9x+2)= equation:


Simplifying
(-1x + -6)(-9x + 2) = 0

Reorder the terms:
(-6 + -1x)(-9x + 2) = 0

Reorder the terms:
(-6 + -1x)(2 + -9x) = 0

Multiply (-6 + -1x) * (2 + -9x)
(-6(2 + -9x) + -1x * (2 + -9x)) = 0
((2 * -6 + -9x * -6) + -1x * (2 + -9x)) = 0
((-12 + 54x) + -1x * (2 + -9x)) = 0
(-12 + 54x + (2 * -1x + -9x * -1x)) = 0
(-12 + 54x + (-2x + 9x2)) = 0

Combine like terms: 54x + -2x = 52x
(-12 + 52x + 9x2) = 0

Solving
-12 + 52x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -1x)(2 + -9x) = 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 '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222

Solution

x = {-6, 0.2222222222}

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