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

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


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

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

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

Multiply (4 + 3x) * (4 + 3x)
(4(4 + 3x) + 3x * (4 + 3x)) = 0
((4 * 4 + 3x * 4) + 3x * (4 + 3x)) = 0
((16 + 12x) + 3x * (4 + 3x)) = 0
(16 + 12x + (4 * 3x + 3x * 3x)) = 0
(16 + 12x + (12x + 9x2)) = 0

Combine like terms: 12x + 12x = 24x
(16 + 24x + 9x2) = 0

Solving
16 + 24x + 9x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve: Simplifying 4 + 3x = 0 Solving 4 + 3x = 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 + 3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 0 + -4 3x = 0 + -4 Combine like terms: 0 + -4 = -4 3x = -4 Divide each side by '3'. x = -1.333333333 Simplifying x = -1.333333333

Solution

x = {-1.333333333, -1.333333333}

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