-16t*t+96t+112=0

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Solution for -16t*t+96t+112=0 equation:


Simplifying
-16t * t + 96t + 112 = 0

Multiply t * t
-16t2 + 96t + 112 = 0

Reorder the terms:
112 + 96t + -16t2 = 0

Solving
112 + 96t + -16t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '16'.
16(7 + 6t + -1t2) = 0

Factor a trinomial.
16((7 + -1t)(1 + t)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 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 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7

Subproblem 2

Set the factor '(1 + t)' equal to zero and attempt to solve: Simplifying 1 + t = 0 Solving 1 + t = 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 + t = 0 + -1 Combine like terms: 1 + -1 = 0 0 + t = 0 + -1 t = 0 + -1 Combine like terms: 0 + -1 = -1 t = -1 Simplifying t = -1

Solution

t = {7, -1}

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