(4x+3)(3x+9)=

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Solution for (4x+3)(3x+9)= equation:


Simplifying
(4x + 3)(3x + 9) = 0

Reorder the terms:
(3 + 4x)(3x + 9) = 0

Reorder the terms:
(3 + 4x)(9 + 3x) = 0

Multiply (3 + 4x) * (9 + 3x)
(3(9 + 3x) + 4x * (9 + 3x)) = 0
((9 * 3 + 3x * 3) + 4x * (9 + 3x)) = 0
((27 + 9x) + 4x * (9 + 3x)) = 0
(27 + 9x + (9 * 4x + 3x * 4x)) = 0
(27 + 9x + (36x + 12x2)) = 0

Combine like terms: 9x + 36x = 45x
(27 + 45x + 12x2) = 0

Solving
27 + 45x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 15x + 4x2) = 0

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

Ignore the factor 3.

Subproblem 1

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Subproblem 2

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-3, -0.75}

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