(9t+4)(5t-2)=0

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Solution for (9t+4)(5t-2)=0 equation:


Simplifying
(9t + 4)(5t + -2) = 0

Reorder the terms:
(4 + 9t)(5t + -2) = 0

Reorder the terms:
(4 + 9t)(-2 + 5t) = 0

Multiply (4 + 9t) * (-2 + 5t)
(4(-2 + 5t) + 9t * (-2 + 5t)) = 0
((-2 * 4 + 5t * 4) + 9t * (-2 + 5t)) = 0
((-8 + 20t) + 9t * (-2 + 5t)) = 0
(-8 + 20t + (-2 * 9t + 5t * 9t)) = 0
(-8 + 20t + (-18t + 45t2)) = 0

Combine like terms: 20t + -18t = 2t
(-8 + 2t + 45t2) = 0

Solving
-8 + 2t + 45t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -9t)(2 + -5t) = 0

Subproblem 1

Set the factor '(-4 + -9t)' equal to zero and attempt to solve: Simplifying -4 + -9t = 0 Solving -4 + -9t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -9t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -9t = 0 + 4 -9t = 0 + 4 Combine like terms: 0 + 4 = 4 -9t = 4 Divide each side by '-9'. t = -0.4444444444 Simplifying t = -0.4444444444

Subproblem 2

Set the factor '(2 + -5t)' equal to zero and attempt to solve: Simplifying 2 + -5t = 0 Solving 2 + -5t = 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 + -5t = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5t = 0 + -2 -5t = 0 + -2 Combine like terms: 0 + -2 = -2 -5t = -2 Divide each side by '-5'. t = 0.4 Simplifying t = 0.4

Solution

t = {-0.4444444444, 0.4}

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