(t+2)(4t-15)=

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Solution for (t+2)(4t-15)= equation: 


Simplifying
(t + 2)(4t + -15) = 0

Reorder the terms:
(2 + t)(4t + -15) = 0

Reorder the terms:
(2 + t)(-15 + 4t) = 0

Multiply (2 + t) * (-15 + 4t)
(2(-15 + 4t) + t(-15 + 4t)) = 0
((-15 * 2 + 4t * 2) + t(-15 + 4t)) = 0
((-30 + 8t) + t(-15 + 4t)) = 0
(-30 + 8t + (-15 * t + 4t * t)) = 0
(-30 + 8t + (-15t + 4t2)) = 0

Combine like terms: 8t + -15t = -7t
(-30 + -7t + 4t2) = 0

Solving
-30 + -7t + 4t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-2 + -1t)(15 + -4t) = 0


Subproblem 1
Set the factor '(-2 + -1t)' equal to zero and attempt to solve:

Simplifying
-2 + -1t = 0

Solving
-2 + -1t = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1t = 0 + 2
-1t = 0 + 2

Combine like terms: 0 + 2 = 2
-1t = 2

Divide each side by '-1'.
t = -2

Simplifying
t = -2

Subproblem 2
Set the factor '(15 + -4t)' equal to zero and attempt to solve:

Simplifying
15 + -4t = 0

Solving
15 + -4t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -4t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = 0 + -15
-4t = 0 + -15

Combine like terms: 0 + -15 = -15
-4t = -15

Divide each side by '-4'.
t = 3.75

Simplifying
t = 3.75
Solution
t = {-2, 3.75}

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