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

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Solution for (x+9)(2x-1)=0 equation:


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

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

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

Multiply (9 + x) * (-1 + 2x)
(9(-1 + 2x) + x(-1 + 2x)) = 0
((-1 * 9 + 2x * 9) + x(-1 + 2x)) = 0
((-9 + 18x) + x(-1 + 2x)) = 0
(-9 + 18x + (-1 * x + 2x * x)) = 0
(-9 + 18x + (-1x + 2x2)) = 0

Combine like terms: 18x + -1x = 17x
(-9 + 17x + 2x2) = 0

Solving
-9 + 17x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -1x)(1 + -2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-9, 0.5}

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