(2x+3)(5x+6)=

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Solution for (2x+3)(5x+6)= equation:


Simplifying
(2x + 3)(5x + 6) = 0

Reorder the terms:
(3 + 2x)(5x + 6) = 0

Reorder the terms:
(3 + 2x)(6 + 5x) = 0

Multiply (3 + 2x) * (6 + 5x)
(3(6 + 5x) + 2x * (6 + 5x)) = 0
((6 * 3 + 5x * 3) + 2x * (6 + 5x)) = 0
((18 + 15x) + 2x * (6 + 5x)) = 0
(18 + 15x + (6 * 2x + 5x * 2x)) = 0
(18 + 15x + (12x + 10x2)) = 0

Combine like terms: 15x + 12x = 27x
(18 + 27x + 10x2) = 0

Solving
18 + 27x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + 2x)(6 + 5x) = 0

Subproblem 1

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

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 = {-1.5, -1.2}

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