(9x+4)(9x-5)=0

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Solution for (9x+4)(9x-5)=0 equation:


Simplifying
(9x + 4)(9x + -5) = 0

Reorder the terms:
(4 + 9x)(9x + -5) = 0

Reorder the terms:
(4 + 9x)(-5 + 9x) = 0

Multiply (4 + 9x) * (-5 + 9x)
(4(-5 + 9x) + 9x * (-5 + 9x)) = 0
((-5 * 4 + 9x * 4) + 9x * (-5 + 9x)) = 0
((-20 + 36x) + 9x * (-5 + 9x)) = 0
(-20 + 36x + (-5 * 9x + 9x * 9x)) = 0
(-20 + 36x + (-45x + 81x2)) = 0

Combine like terms: 36x + -45x = -9x
(-20 + -9x + 81x2) = 0

Solving
-20 + -9x + 81x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -9x)(5 + -9x) = 0

Subproblem 1

Set the factor '(-4 + -9x)' equal to zero and attempt to solve: Simplifying -4 + -9x = 0 Solving -4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9x = 0 + 4 -9x = 0 + 4 Combine like terms: 0 + 4 = 4 -9x = 4 Divide each side by '-9'. x = -0.4444444444 Simplifying x = -0.4444444444

Subproblem 2

Set the factor '(5 + -9x)' equal to zero and attempt to solve: Simplifying 5 + -9x = 0 Solving 5 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -9x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = 0 + -5 -9x = 0 + -5 Combine like terms: 0 + -5 = -5 -9x = -5 Divide each side by '-9'. x = 0.5555555556 Simplifying x = 0.5555555556

Solution

x = {-0.4444444444, 0.5555555556}

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