(2x+4)(2x+3)=

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Solution for (2x+4)(2x+3)= equation:


Simplifying
(2x + 4)(2x + 3) = 0

Reorder the terms:
(4 + 2x)(2x + 3) = 0

Reorder the terms:
(4 + 2x)(3 + 2x) = 0

Multiply (4 + 2x) * (3 + 2x)
(4(3 + 2x) + 2x * (3 + 2x)) = 0
((3 * 4 + 2x * 4) + 2x * (3 + 2x)) = 0
((12 + 8x) + 2x * (3 + 2x)) = 0
(12 + 8x + (3 * 2x + 2x * 2x)) = 0
(12 + 8x + (6x + 4x2)) = 0

Combine like terms: 8x + 6x = 14x
(12 + 14x + 4x2) = 0

Solving
12 + 14x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 7x + 2x2) = 0

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

Ignore the factor 2.

Subproblem 1

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

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 = {-2, -1.5}

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