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Simplifying 16t3 + -49t = 0 Reorder the terms: -49t + 16t3 = 0 Solving -49t + 16t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(-49 + 16t2) = 0 Factor a difference between two squares. t((7 + 4t)(-7 + 4t)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(7 + 4t)' equal to zero and attempt to solve: Simplifying 7 + 4t = 0 Solving 7 + 4t = 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 + 4t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4t = 0 + -7 4t = 0 + -7 Combine like terms: 0 + -7 = -7 4t = -7 Divide each side by '4'. t = -1.75 Simplifying t = -1.75Subproblem 3
Set the factor '(-7 + 4t)' equal to zero and attempt to solve: Simplifying -7 + 4t = 0 Solving -7 + 4t = 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 + 4t = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 4t = 0 + 7 4t = 0 + 7 Combine like terms: 0 + 7 = 7 4t = 7 Divide each side by '4'. t = 1.75 Simplifying t = 1.75Solution
t = {0, -1.75, 1.75}
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