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

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


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

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

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

Multiply (-1 + 9x) * (9 + 2x)
(-1(9 + 2x) + 9x * (9 + 2x)) = 0
((9 * -1 + 2x * -1) + 9x * (9 + 2x)) = 0
((-9 + -2x) + 9x * (9 + 2x)) = 0
(-9 + -2x + (9 * 9x + 2x * 9x)) = 0
(-9 + -2x + (81x + 18x2)) = 0

Combine like terms: -2x + 81x = 79x
(-9 + 79x + 18x2) = 0

Solving
-9 + 79x + 18x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 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 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5

Subproblem 2

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

Solution

x = {-4.5, 0.1111111111}

 

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