(14t+9)(5t-15)=0

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Solution for (14t+9)(5t-15)=0 equation:


Simplifying
(14t + 9)(5t + -15) = 0

Reorder the terms:
(9 + 14t)(5t + -15) = 0

Reorder the terms:
(9 + 14t)(-15 + 5t) = 0

Multiply (9 + 14t) * (-15 + 5t)
(9(-15 + 5t) + 14t * (-15 + 5t)) = 0
((-15 * 9 + 5t * 9) + 14t * (-15 + 5t)) = 0
((-135 + 45t) + 14t * (-15 + 5t)) = 0
(-135 + 45t + (-15 * 14t + 5t * 14t)) = 0
(-135 + 45t + (-210t + 70t2)) = 0

Combine like terms: 45t + -210t = -165t
(-135 + -165t + 70t2) = 0

Solving
-135 + -165t + 70t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-27 + -33t + 14t2) = 0

Factor a trinomial.
5((-9 + -14t)(3 + -1t)) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-9 + -14t)' equal to zero and attempt to solve:

Simplifying
-9 + -14t = 0

Solving
-9 + -14t = 0

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

Add '9' to each side of the equation.
-9 + 9 + -14t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -14t = 0 + 9
-14t = 0 + 9

Combine like terms: 0 + 9 = 9
-14t = 9

Divide each side by '-14'.
t = -0.6428571429

Simplifying
t = -0.6428571429

Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-0.6428571429, 3}

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