(7t+5)(7t+5)=

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Solution for (7t+5)(7t+5)= equation:


Simplifying
(7t + 5)(7t + 5) = 0

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

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

Multiply (5 + 7t) * (5 + 7t)
(5(5 + 7t) + 7t * (5 + 7t)) = 0
((5 * 5 + 7t * 5) + 7t * (5 + 7t)) = 0
((25 + 35t) + 7t * (5 + 7t)) = 0
(25 + 35t + (5 * 7t + 7t * 7t)) = 0
(25 + 35t + (35t + 49t2)) = 0

Combine like terms: 35t + 35t = 70t
(25 + 70t + 49t2) = 0

Solving
25 + 70t + 49t2 = 0

Solving for variable 't'.

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

Subproblem 1

Set the factor '(5 + 7t)' equal to zero and attempt to solve: Simplifying 5 + 7t = 0 Solving 5 + 7t = 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 + 7t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7t = 0 + -5 7t = 0 + -5 Combine like terms: 0 + -5 = -5 7t = -5 Divide each side by '7'. t = -0.7142857143 Simplifying t = -0.7142857143

Subproblem 2

Set the factor '(5 + 7t)' equal to zero and attempt to solve: Simplifying 5 + 7t = 0 Solving 5 + 7t = 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 + 7t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7t = 0 + -5 7t = 0 + -5 Combine like terms: 0 + -5 = -5 7t = -5 Divide each side by '7'. t = -0.7142857143 Simplifying t = -0.7142857143

Solution

t = {-0.7142857143, -0.7142857143}

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