(T+2)x(14+3T)=

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Solution for (T+2)x(14+3T)= equation:


Simplifying
(T + 2) * x(14 + 3T) = 0

Reorder the terms:
(2 + T) * x(14 + 3T) = 0

Reorder the terms for easier multiplication:
x(2 + T)(14 + 3T) = 0

Multiply (2 + T) * (14 + 3T)
x(2(14 + 3T) + T(14 + 3T)) = 0
x((14 * 2 + 3T * 2) + T(14 + 3T)) = 0
x((28 + 6T) + T(14 + 3T)) = 0
x(28 + 6T + (14 * T + 3T * T)) = 0
x(28 + 6T + (14T + 3T2)) = 0

Combine like terms: 6T + 14T = 20T
x(28 + 20T + 3T2) = 0
(28 * x + 20T * x + 3T2 * x) = 0
(28x + 20xT + 3xT2) = 0

Solving
28x + 20xT + 3xT2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + 20T + 3T2) = 0

Factor a trinomial.
x((14 + 3T)(2 + T)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(14 + 3T)' equal to zero and attempt to solve: Simplifying 14 + 3T = 0 Solving 14 + 3T = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3T = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3T = 0 + -14 3T = 0 + -14 Combine like terms: 0 + -14 = -14 3T = -14 Add '-3T' to each side of the equation. 3T + -3T = -14 + -3T Combine like terms: 3T + -3T = 0 0 = -14 + -3T Simplifying 0 = -14 + -3T The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(2 + T)' equal to zero and attempt to solve: Simplifying 2 + T = 0 Solving 2 + T = 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 + T = 0 + -2 Combine like terms: 2 + -2 = 0 0 + T = 0 + -2 T = 0 + -2 Combine like terms: 0 + -2 = -2 T = -2 Add '-1T' to each side of the equation. T + -1T = -2 + -1T Combine like terms: T + -1T = 0 0 = -2 + -1T Simplifying 0 = -2 + -1T The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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