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

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


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

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

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

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

Combine like terms: 10x + 8x = 18x
(20 + 18x + 4x2) = 0

Solving
20 + 18x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 9x + 2x2) = 0

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

Ignore the factor 2.

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

Solution

x = {-2.5, -2}

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