(9x-4)(5x+6)=

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Solution for (9x-4)(5x+6)= equation:


Simplifying
(9x + -4)(5x + 6) = 0

Reorder the terms:
(-4 + 9x)(5x + 6) = 0

Reorder the terms:
(-4 + 9x)(6 + 5x) = 0

Multiply (-4 + 9x) * (6 + 5x)
(-4(6 + 5x) + 9x * (6 + 5x)) = 0
((6 * -4 + 5x * -4) + 9x * (6 + 5x)) = 0
((-24 + -20x) + 9x * (6 + 5x)) = 0
(-24 + -20x + (6 * 9x + 5x * 9x)) = 0
(-24 + -20x + (54x + 45x2)) = 0

Combine like terms: -20x + 54x = 34x
(-24 + 34x + 45x2) = 0

Solving
-24 + 34x + 45x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-6 + -5x)(4 + -9x) = 0

Subproblem 1

Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2

Subproblem 2

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

Solution

x = {-1.2, 0.4444444444}

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