(4x+5)(3x+6)=

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Solution for (4x+5)(3x+6)= equation:


Simplifying
(4x + 5)(3x + 6) = 0

Reorder the terms:
(5 + 4x)(3x + 6) = 0

Reorder the terms:
(5 + 4x)(6 + 3x) = 0

Multiply (5 + 4x) * (6 + 3x)
(5(6 + 3x) + 4x * (6 + 3x)) = 0
((6 * 5 + 3x * 5) + 4x * (6 + 3x)) = 0
((30 + 15x) + 4x * (6 + 3x)) = 0
(30 + 15x + (6 * 4x + 3x * 4x)) = 0
(30 + 15x + (24x + 12x2)) = 0

Combine like terms: 15x + 24x = 39x
(30 + 39x + 12x2) = 0

Solving
30 + 39x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(10 + 13x + 4x2) = 0

Factor a trinomial.
3((2 + x)(5 + 4x)) = 0

Ignore the factor 3.

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 '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Solution

x = {-2, -1.25}

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