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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 = 0
(-25 + 0 + 49t2) = 0
(-25 + 49t2) = 0
Solving
-25 + 49t2 = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '25' to each side of the equation.
-25 + 25 + 49t2 = 0 + 25
Combine like terms: -25 + 25 = 0
0 + 49t2 = 0 + 25
49t2 = 0 + 25
Combine like terms: 0 + 25 = 25
49t2 = 25
Divide each side by '49'.
t2 = 0.5102040816
Simplifying
t2 = 0.5102040816
Take the square root of each side:
t = {-0.714285714, 0.714285714}
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