(8+t)(11+t)=

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Solution for (8+t)(11+t)= equation:


Simplifying
(8 + t)(11 + t) = 0

Multiply (8 + t) * (11 + t)
(8(11 + t) + t(11 + t)) = 0
((11 * 8 + t * 8) + t(11 + t)) = 0
((88 + 8t) + t(11 + t)) = 0
(88 + 8t + (11 * t + t * t)) = 0
(88 + 8t + (11t + t2)) = 0

Combine like terms: 8t + 11t = 19t
(88 + 19t + t2) = 0

Solving
88 + 19t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(11 + t)(8 + t) = 0

Subproblem 1

Set the factor '(11 + t)' equal to zero and attempt to solve: Simplifying 11 + t = 0 Solving 11 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + t = 0 + -11 t = 0 + -11 Combine like terms: 0 + -11 = -11 t = -11 Simplifying t = -11

Subproblem 2

Set the factor '(8 + t)' equal to zero and attempt to solve: Simplifying 8 + t = 0 Solving 8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + t = 0 + -8 Combine like terms: 8 + -8 = 0 0 + t = 0 + -8 t = 0 + -8 Combine like terms: 0 + -8 = -8 t = -8 Simplifying t = -8

Solution

t = {-11, -8}

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