(2x+9)(5x+6)=

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Solution for (2x+9)(5x+6)= equation:


Simplifying
(2x + 9)(5x + 6) = 0

Reorder the terms:
(9 + 2x)(5x + 6) = 0

Reorder the terms:
(9 + 2x)(6 + 5x) = 0

Multiply (9 + 2x) * (6 + 5x)
(9(6 + 5x) + 2x * (6 + 5x)) = 0
((6 * 9 + 5x * 9) + 2x * (6 + 5x)) = 0
((54 + 45x) + 2x * (6 + 5x)) = 0
(54 + 45x + (6 * 2x + 5x * 2x)) = 0
(54 + 45x + (12x + 10x2)) = 0

Combine like terms: 45x + 12x = 57x
(54 + 57x + 10x2) = 0

Solving
54 + 57x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(9 + 2x)(6 + 5x) = 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 '(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

Solution

x = {-4.5, -1.2}

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