(4x-5)(9x+2)=0

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Solution for (4x-5)(9x+2)=0 equation:


Simplifying
(4x + -5)(9x + 2) = 0

Reorder the terms:
(-5 + 4x)(9x + 2) = 0

Reorder the terms:
(-5 + 4x)(2 + 9x) = 0

Multiply (-5 + 4x) * (2 + 9x)
(-5(2 + 9x) + 4x * (2 + 9x)) = 0
((2 * -5 + 9x * -5) + 4x * (2 + 9x)) = 0
((-10 + -45x) + 4x * (2 + 9x)) = 0
(-10 + -45x + (2 * 4x + 9x * 4x)) = 0
(-10 + -45x + (8x + 36x2)) = 0

Combine like terms: -45x + 8x = -37x
(-10 + -37x + 36x2) = 0

Solving
-10 + -37x + 36x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -9x)(5 + -4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25

Solution

x = {-0.2222222222, 1.25}

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