(5x+4)(2x+5)=

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


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

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

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

Multiply (4 + 5x) * (5 + 2x)
(4(5 + 2x) + 5x * (5 + 2x)) = 0
((5 * 4 + 2x * 4) + 5x * (5 + 2x)) = 0
((20 + 8x) + 5x * (5 + 2x)) = 0
(20 + 8x + (5 * 5x + 2x * 5x)) = 0
(20 + 8x + (25x + 10x2)) = 0

Combine like terms: 8x + 25x = 33x
(20 + 33x + 10x2) = 0

Solving
20 + 33x + 10x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(4 + 5x)' equal to zero and attempt to solve: Simplifying 4 + 5x = 0 Solving 4 + 5x = 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 + 5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = 0 + -4 5x = 0 + -4 Combine like terms: 0 + -4 = -4 5x = -4 Divide each side by '5'. x = -0.8 Simplifying x = -0.8

Solution

x = {-2.5, -0.8}

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