(2x+3)(5x+8)=

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Solution for (2x+3)(5x+8)= equation:


Simplifying
(2x + 3)(5x + 8) = 0

Reorder the terms:
(3 + 2x)(5x + 8) = 0

Reorder the terms:
(3 + 2x)(8 + 5x) = 0

Multiply (3 + 2x) * (8 + 5x)
(3(8 + 5x) + 2x * (8 + 5x)) = 0
((8 * 3 + 5x * 3) + 2x * (8 + 5x)) = 0
((24 + 15x) + 2x * (8 + 5x)) = 0
(24 + 15x + (8 * 2x + 5x * 2x)) = 0
(24 + 15x + (16x + 10x2)) = 0

Combine like terms: 15x + 16x = 31x
(24 + 31x + 10x2) = 0

Solving
24 + 31x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 5x)(3 + 2x) = 0

Subproblem 1

Set the factor '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6

Subproblem 2

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

Solution

x = {-1.6, -1.5}

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