X^2+2(4)X+(3(4)+4)=0

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Solution for X^2+2(4)X+(3(4)+4)=0 equation:


Simplifying
X2 + 2(4) * X + (3(4) + 4) = 0

Multiply 2 * 4
X2 + 8X + (3(4) + 4) = 0

Multiply 3 * 4
X2 + 8X + (12 + 4) = 0

Combine like terms: 12 + 4 = 16
X2 + 8X + (16) = 0
X2 + 8X + 16 = 0

Reorder the terms:
16 + 8X + X2 = 0

Solving
16 + 8X + X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(4 + X)(4 + X) = 0

Subproblem 1

Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4

Subproblem 2

Set the factor '(4 + X)' equal to zero and attempt to solve: Simplifying 4 + X = 0 Solving 4 + X = 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 + X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X = 0 + -4 X = 0 + -4 Combine like terms: 0 + -4 = -4 X = -4 Simplifying X = -4

Solution

X = {-4, -4}

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