(7t-1)(8t+5)=

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Solution for (7t-1)(8t+5)= equation:


Simplifying
(7t + -1)(8t + 5) = 0

Reorder the terms:
(-1 + 7t)(8t + 5) = 0

Reorder the terms:
(-1 + 7t)(5 + 8t) = 0

Multiply (-1 + 7t) * (5 + 8t)
(-1(5 + 8t) + 7t * (5 + 8t)) = 0
((5 * -1 + 8t * -1) + 7t * (5 + 8t)) = 0
((-5 + -8t) + 7t * (5 + 8t)) = 0
(-5 + -8t + (5 * 7t + 8t * 7t)) = 0
(-5 + -8t + (35t + 56t2)) = 0

Combine like terms: -8t + 35t = 27t
(-5 + 27t + 56t2) = 0

Solving
-5 + 27t + 56t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-5 + -8t)(1 + -7t) = 0

Subproblem 1

Set the factor '(-5 + -8t)' equal to zero and attempt to solve: Simplifying -5 + -8t = 0 Solving -5 + -8t = 0 Move all terms containing t to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -8t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8t = 0 + 5 -8t = 0 + 5 Combine like terms: 0 + 5 = 5 -8t = 5 Divide each side by '-8'. t = -0.625 Simplifying t = -0.625

Subproblem 2

Set the factor '(1 + -7t)' equal to zero and attempt to solve: Simplifying 1 + -7t = 0 Solving 1 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7t = 0 + -1 -7t = 0 + -1 Combine like terms: 0 + -1 = -1 -7t = -1 Divide each side by '-7'. t = 0.1428571429 Simplifying t = 0.1428571429

Solution

t = {-0.625, 0.1428571429}

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