2t(-8t+7)=0

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Solution for 2t(-8t+7)=0 equation: 


Simplifying
2t(-8t + 7) = 0

Reorder the terms:
2t(7 + -8t) = 0
(7 * 2t + -8t * 2t) = 0
(14t + -16t2) = 0

Solving
14t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(7 + -8t) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(7 + -8t)' equal to zero and attempt to solve:

Simplifying
7 + -8t = 0

Solving
7 + -8t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -8t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8t = 0 + -7
-8t = 0 + -7

Combine like terms: 0 + -7 = -7
-8t = -7

Divide each side by '-8'.
t = 0.875

Simplifying
t = 0.875
Solution
t = {0, 0.875}

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