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Simplifying 4t(9t + -4) = 0 Reorder the terms: 4t(-4 + 9t) = 0 (-4 * 4t + 9t * 4t) = 0 (-16t + 36t2) = 0 Solving -16t + 36t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '4t'. 4t(-4 + 9t) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(-4 + 9t)' equal to zero and attempt to solve: Simplifying -4 + 9t = 0 Solving -4 + 9t = 0 Move all terms containing t to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9t = 0 + 4 9t = 0 + 4 Combine like terms: 0 + 4 = 4 9t = 4 Divide each side by '9'. t = 0.4444444444 Simplifying t = 0.4444444444Solution
t = {0, 0.4444444444}
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