1600t-16t*t=14400

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Solution for 1600t-16t*t=14400 equation:


Simplifying
1600t + -16t * t = 14400

Multiply t * t
1600t + -16t2 = 14400

Solving
1600t + -16t2 = 14400

Solving for variable 't'.

Reorder the terms:
-14400 + 1600t + -16t2 = 14400 + -14400

Combine like terms: 14400 + -14400 = 0
-14400 + 1600t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(-900 + 100t + -1t2) = 0

Factor a trinomial.
16((-90 + t)(10 + -1t)) = 0

Ignore the factor 16.

Subproblem 1

Set the factor '(-90 + t)' equal to zero and attempt to solve: Simplifying -90 + t = 0 Solving -90 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + t = 0 + 90 Combine like terms: -90 + 90 = 0 0 + t = 0 + 90 t = 0 + 90 Combine like terms: 0 + 90 = 90 t = 90 Simplifying t = 90

Subproblem 2

Set the factor '(10 + -1t)' equal to zero and attempt to solve: Simplifying 10 + -1t = 0 Solving 10 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1t = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1t = 0 + -10 -1t = 0 + -10 Combine like terms: 0 + -10 = -10 -1t = -10 Divide each side by '-1'. t = 10 Simplifying t = 10

Solution

t = {90, 10}

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